Projects search

Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings

Authors:

Katarzyna Grabowska, Janusz Grabowski, Paweł Urbański

Academic press:

J. Geom. Mech. (year: 2014, volume: 5, pages: 503-526), Publisher: AIMS

Status:

Published

DOI:

10.3934/jgm.2014.6.503 – link to the publication

Modular classes revisited

Authors:

Janusz Grabowski

Academic press:

Int. J. Geom. Methods Mod. Phys. (year: 2014, volume: 11, pages: 140042 (11 pages)), Publisher: World Scientific

Status:

Published

DOI:

10.1142/S0219887814600421 – link to the publication

Tracial stability for C*-algebras

Authors:

D. Hadwin, T. Shulman

Academic press:

Integr. Equ. Oper. Theory (year: 2018, volume: 90, pages: 12785), Publisher: Springer

Status:

Published

DOI:

10.1007/s00020-018-2430-1 – link to the publication

Geometry of quantum dynamics in infinite dimensional Hilbert space

Authors:

38.J. Grabowski, M. Kuś, G. Marmo, T. Shulman

Academic press:

J. Phys. A (year: 2018, volume: 51, pages: 165301), Publisher: IOP Science

Status:

Published

DOI:

10.1088/1751-8121/aab289 – link to the publication

Lie-Hamilton systems on curved spaces: a geometrical approach

Authors:

Francisco J. Herranz, Javier de Lucas, Mariusz Tobolski

Academic press:

J. Phys. A (year: 2017, volume: 50, pages: 495201), Publisher: IOP Science

Status:

Published

DOI:

10.1088/1751-8121/aa918f – link to the publication

Comorphisms of Lie algebroids and groupoids: a short introduction

Authors:

Krzysztof Drachal

Academic press:

Mathematica Aeterna (year: 2015, volume: 5, pages: 63-81), Publisher: Hilaris

Status:

Published

Higher order mechanics on graded bundles

Authors:

Andrew J. Bruce, Katarzyna Grabowska, Janusz Grabowski

Academic press:

J. Phys. A (year: 2015, volume: 48, pages: 205203 (32pp)), Publisher: IOP Science

Status:

Published

DOI:

10.1088/1751-8113/48/20/205203 – link to the publication

Models for higher algebroids

Authors:

Michał Jóźwikowski, Mikołaj Rotkiewicz

Academic press:

J. Geom. Mech. (year: 2015, volume: 7, pages: 317-359), Publisher: AIMS

Status:

Published

DOI:

10.3934/jgm.2015.7.317 – link to the publication

On some properties of vectors tangent to a predifferential space 4

Authors:

Krzysztof Drachal

Academic press:

Mathematica Aeterna (year: 2014, volume: 4, pages: 573-576), Publisher: Hilaris Ltd

Status:

Published

DOI:

link to the publication

On superactivation of zero-error capacities and reversibility of a quantum channel

Authors:

Maxim Shirokov , Tatiana Shulman

Academic press:

Comm. Math. Phys. (year: 2015, volume: 335, pages: 1159-1179), Publisher: Springer

Status:

Published

DOI:

10.1007/s00220-015-2345-5 – link to the publication

Tulczyjew triples in higher derivative field theory

Authors:

Katarzyna Grabowska, Luca Vitagliano

Academic press:

Journal Geom. Mech. (year: 2015, volume: 7, pages: 12055), Publisher: AIMS

Status:

Published

DOI:

10.3934/jgm.2015.7.1 – link to the publication

Why are normal sub-Riemannian extremals locally minimizing?

Authors:

M. Jóźwikowski, W. Respondek

Academic press:

Diff. Geom. Appl. (year: 2018, volume: 60, pages: 174-189), Publisher: Elsevier

Status:

Published

DOI:

10.1016/j.difgeo.2018.06.005 – link to the publication

Elements of C*-algebras attaining their norm in a finite-dimensional representation

Authors:

K. Courtney and T. Shulman

Academic press:

Canadian J. Math. (year: 2019, volume: 71, pages: 93-111), Publisher: Canadian Mathematical Society

Status:

Published

DOI:

10.4153/CJM-2017-040-x – link to the publication

A cohomological approach to immersed submanifolds via integrable systems

Authors:

A.M. Grundland, J. de Lucas

Academic press:

Selecta Math. (NS) (year: 2018, volume: 29, pages: 434), Publisher: Birkhauser

Status:

Published

DOI:

10.1007/s00029-018-0434-y – link to the publication

Stability under small Hilbert-Schmidt perturbations for C*-algebras (Russian)

Authors:

Don Hadwin, Tatiana Shulman

Academic press:

Funktsional. Anal. i Prilozhen. (year: 2018, volume: 52, pages: 92-97), Publisher: Russian Acad. Sci.

Status:

Published

DOI:

10.4213/faa3479 – link to the publication

n-tuple principal bundles

Authors:

K. Grabowska, J. Grabowski

Academic press:

Int. J. Geom. Methods Mod. Phys. (year: 2018, volume: 15, pages: 1850211 (18 pages)), Publisher: World Scientific

Status:

Published

DOI:

10.1142/S0219887818502110 – link to the publication

Tulczyjew triples: from statics to field theory

Authors:

Katarzyna Grabowska, Janusz Grabowski

Academic press:

J. Geom. Mech. (year: 2013, volume: 5, pages: 445-472), Publisher: AIMS

Status:

Published

DOI:

10.3934/jgm.2013.5.445 – link to the publication

Stability of group relations under small Hilbert-Schmidt perturbations

Authors:

Don Hadwin, Tatiana Shulman

Academic press:

J. Functional Analysis (year: 2018, volume: 275, pages: 761-792), Publisher: Elsevier

Status:

Published

DOI:

10.1016/j.jfa.2018.05.006 – link to the publication

Jacobi multipliers, non-local symmetries, and nonlinear oscillators

Authors:

Jose F. Cariñena, Javier de Lucas, Manuel F. Rañada

Academic press:

J. Math. Phys. (year: 2015, volume: 56, pages: 63505), Publisher: AIP

Status:

Published

DOI:

10.1063/1.4922509 – link to the publication

On the concept of a filtered bundle

Authors:

A. J. Bruce, K. Grabowska, J. Grabowski

Academic press:

Int. J. Geom. Methods Mod. Phys. (year: 2018, volume: 15, pages: 1850013 (34 pages)), Publisher: World Scientific

Status:

Published

DOI:

10.1142/S0219887818500135 – link to the publication

A Lie systems approach to the Riccati hierarchy and partial differential equations

Authors:

J. de Lucas, A.M. Grundland

Academic press:

J. Differential Equations (year: 2017, volume: 263, pages: 299-337), Publisher: Elsevier

Status:

Published

DOI:

10.1016/j.jde.2017.02.038 – link to the publication

On a geometric framework for Lagrangian supermechanics

Authors:

A. J. Bruce, K. Grabowska, G. Moreno

Academic press:

J. Geom. Mech. (year: 2017, volume: 9, pages: 411-437), Publisher: AIMS

Status:

Published

DOI:

10.3934/jgm.2017016 – link to the publication

Some algebro-geometric aspects of spacetime c-boundary

Authors:

Vandana, Deepmala, K. Drachal, V.N. Mishra,

Academic press:

Mathematica Aeterna (year: 2016, volume: 6, pages: 561-572), Publisher: Hilaris Ltd

Status:

Published

Higher-order analogs of algebroids via vector bundle comorphisms

Authors:

M. Jóźwikowski, M. Rotkiewicz

Academic press:

Symmetry, Integrability and Geometry: Mathods and Applications (year: 2018, volume: 14, pages: 135, 46 pages), Publisher: SIGMA

Status:

Published

DOI:

10.3842/SIGMA.2018.135 – link to the publication

Representations up to Homotopy from Weighted Lie Algebroids

Authors:

Andrew James Bruce, Janusz Grabowski and Luca Vitagliano

Academic press:

Journal of Lie Theory (year: 2018, volume: 28, pages: 715-737), Publisher: Heldermann Verlag

Status:

Published

On b-boundary in differential spaces category

Authors:

K. Drachal

Academic press:

Int. J. Geom. Methods Mod. Phys (year: 2017, volume: 14, pages: 1750036 (23 pages)), Publisher: World Scientific

Status:

Published

DOI:

10.1142/S0219887817500360 – link to the publication

Pre-Courant algebroids

Authors:

A. J. Bruce, J. Grabowski

Academic press:

J. Geom. Phys. (year: 2019, volume: 142, pages: 254-273), Publisher: Elsevier

Status:

Published

DOI:

10.1016/j.geomphys.2019.04.007 – link to the publication

Geometry of Routh reduction

Authors:

K. Grabowska, P. Urbański

Academic press:

J. Geom. Mech. (year: 2019, volume: 11, pages: 23-44), Publisher: AIMS

Status:

Published

DOI:

10.3934/jgm.2019002 – link to the publication

Variations of projectivity for C*-algebras

Authors:

D. Hadwin and T. Shulman

Academic press:

Pacific J. Math. (year: 2019, volume: 301, pages: 421-440), Publisher: Mathematical Sciences Publisher

Status:

Published

DOI:

10.2140/pjm.2019.301.421 – link to the publication

The Tulczyjew triple in mechanics on a Lie group

Authors:

K. Grabowska, M. Zając

Academic press:

J. Geom. Mech (year: 2016, volume: 8, pages: 413-435), Publisher: AIMS

Status:

Published

DOI:

10.3934/jgm.2016014 – link to the publication

Solvability of a Lie algebra of vector field implies their integrability by quadratures

Authors:

J. F. Cariñena, F. Falceto, J. Grabowski

Academic press:

J. Phys. A (year: 2016, volume: 49, pages: 425202 (13pp)), Publisher: IOP Science

Status:

Published

DOI:

10.1088/1751-8113/49/42/425202 – link to the publication

Duality for graded manifolds

Authors:

J. Grabowski, M. Jóźwikowski, M. Rotkiewicz

Academic press:

Rep. Math. Phys. (year: 2017, volume: 80, pages: 115-142), Publisher: Springer

Status:

Published

Remarks on generalized Lie algebroids and related concepts

Authors:

K. Grabowska, J. Grabowski

Academic press:

J. Math. Phys. (year: 2017, volume: 58, pages: 23505), Publisher: AIP

Status:

Published

DOI:

10.1063/1.4975703 – link to the publication

Splitting theorem for Z_2^n-supermanifolds

Authors:

Tiffany Covolo, Janusz Grabowski, Norbert Poncin

Academic press:

J. Geom. Phys. (year: 2016, volume: 110, pages: 393-401), Publisher: AIP

Status:

Published

DOI:

10.1016/j.geomphys.2016.09.006 – link to the publication

Remarks on contact and Jacobi geometry

Authors:

Andrew J. Bruce, Katarzyna Grabowska, Janusz Grabowski

Academic press:

SIGMA (year: 2017, volume: 13, pages: 059 (22 pages)), Publisher: SIGMA

Status:

Published

DOI:

10.3842/SIGMA.2017.059 – link to the publication

Graded bundles in the category of Lie groupoids

Authors:

Andrew J. Bruce, Katarzyna Grabowska, Janusz Grabowski

Academic press:

Symmetry, Integrability and Geometry: Mathods and Applications (year: 2015, volume: 11, pages: 090, 25 pages), Publisher: SIGMA

Status:

Published

DOI:

10.3842/SIGMA.2015.090 – link to the publication

The category of Z_2^n-supermanifolds

Authors:

Tiffany Covolo, Janusz Grabowski, Norbert Poncin

Academic press:

J.Math. Phys. (year: 2016, volume: 57, pages: 073503 (16pp)), Publisher: AIP

Status:

Published

DOI:

10.1063/1.4955416 – link to the publication

Remarks on the behaviour of higher-order derivations on the gluing of differential spaces

Authors:

Krzysztof Drachal

Academic press:

Czechoslovak Math. J (year: 2015, volume: 65, pages: 1137–1154), Publisher: Institute of Mathematics, Academy of Sciences of the Czech Republic

Status:

Published

Linear duals of graded bundles and higher analogues of (Lie) algebroid

Authors:

Andrew J. Bruce, Katarzyna Grabowska, Janusz Grabowski

Academic press:

J. Geom. Phys. (year: 2016, volume: 101, pages: 71-99), Publisher: Elsevier

Status:

Published

DOI:

10.1016/j.geomphys.2015.12.004 – link to the publication

Killing sections and sigma models with Lie algebroid targets

Authors:

Andrew J. Bruce

Academic press:

Rep. Math. Phys. (year: 2016, volume: 78, pages: 46040), Publisher: Elsevier

Status:

Published

DOI:

10.1016/S0034-4877(16)30046-5 – link to the publication

On subspaces of invariant vectors

Authors:

Tatiana Shulman

Academic press:

Studia Math. (year: 2017, volume: 236, pages: 46033), Publisher: IMPAN

Status:

Published

DOI:

10.4064/sm8378-11-2016 – link to the publication

Continuity of spectral radius and type I C*-algebras

Authors:

T. Shulman

Academic press:

Proc. Amer. Math. Soc. (year: 2019, volume: 147, pages: 641-646), Publisher: American Mathematical Society

Status:

Published

DOI:

10.1090/proc/14169 – link to the publication

A note on actions of some monoids

Authors:

Michał Jóźwikowski, Mikołaj Rotkiewicz

Academic press:

Differential Geom. Appl. (year: 2016, volume: 47, pages: 212-245), Publisher: Elsevier

Status:

Published

DOI:

10.1016/j.difgeo.2016.04.003 – link to the publication

Kirillov structures up to homotopy

Authors:

Andrew J. Bruce, Alfonso G. Tortorella

Academic press:

Diff. Geom. Appl. (year: 2016, volume: 48, pages: 72–86), Publisher: Elsevier

Status:

Published

DOI:

10.1016/j.difgeo.2016.06.005 – link to the publication

Polarisation of graded bundles

Authors:

Andrew J. Bruce, Janusz Grabowski, Mikołaj Rotkiewicz

Academic press:

Symmetry, Integrability and Geometry: Mathods and Applications (year: 2016, volume: 12, pages: 106 (30 pages)), Publisher: SIGMA

Status:

Published

DOI:

10.3842/SIGMA.2016.106 – link to the publication

New developments in geometric mechanics

Authors:

Andrew J. Bruce, Katarzyna Grabowska, Janusz Grabowski, Paweł Urbański

Conference:

Geometry of Jets and Fields (year: 2016, pages: 57-72), Publisher: Banach Center Publications 110

Date:

conference 10-16 May, 2015

Status:

Published

Tulczyjew triples in the constrained dynamics of strings

Authors:

Katarzyna Grabowska, Janusz Grabowski, Paweł Urbański

Conference:

VILASIFEST (year: 2015, pages: 162 (14 pades)), Publisher: Nuovo Cimento C

Date:

conference 27-29 March, 2015

Status:

Published

Revisiting Lie integrability by quadratures from a geometric perspective

Authors:

J. F. Cariñena, F. Falceto, J. Grabowski, M. F. Rañada

Conference:

Geometry of Jets and Fields (year: 2016, pages: 25-40), Publisher: Banach Center Publications 110

Date:

conference 10-16 May, 2015

Status:

Published

An introduction to loopoids

Authors:

Janusz Grabowski

Conference:

Loops'15 (year: 2016, pages: 515-526), Publisher: Comment. Math. Univ. Carolin. 57 (Mathematica Insttitute of Charles University)

Date:

conference 30.06.-04.07,2015

Status:

Published

Some methods of differential spaces in spacetime geometry

Authors:

Krzysztof Drachal

Conference:

19th International Summer School on Global Analysis and its Applications (year: 2014, pages: 15-17), Publisher: University of Presov

Date:

conference 24-30.08.2014

Status:

Published

Geometric features of Vessiot–Guldberg Lie algebras of conformal and Killing vector fields on R^2

Authors:

M.M. Lewandowski, J. de Lucas

Conference:

50th Seminar Sophus Lie (year: 2017, pages: 243-262), Publisher: Banach Center Publications 113

Date:

conference 25.09.2016 - 01.10.2016

Status:

Published

Introduction to graded bundles

Authors:

A. J. Bruce, K. Grabowska, J. Grabowski

Conference:

International Conference on Differential Geometry of Fez (year: 2016, pages: 57-72), Publisher: Università del Salento (Note di Matematica 37 suppl. 1)

Date:

conference 11-15 April 2016

Status:

Published

Classification of classical singularities: a differential spaces approach

Authors:

Krzysztof Drachal, Wiesław Sasin

Book:

Mathematical Structures of the Universe (year: 2014, volume: 1, pages: 57-67), Publisher: Copernicus Center Press

Status:

Published