[图书][B] Differential geometry of singular spaces and reduction of symmetry
J Śniatycki - 2013 - books.google.com
In this book the author illustrates the power of the theory of subcartesian differential spaces
for investigating spaces with singularities. Part I gives a detailed and comprehensive …
for investigating spaces with singularities. Part I gives a detailed and comprehensive …
[HTML][HTML] On k-polycosymplectic Marsden–Weinstein reductions
We review and slightly improve the known k-polysymplectic Marsden–Weinstein reduction
theory by removing some technical conditions on k-polysymplectic momentum maps by …
theory by removing some technical conditions on k-polysymplectic momentum maps by …
[图书][B] LA-Courant algebroids and their applications
DS Li-Bland - 2012 - search.proquest.com
In this thesis we develop the notion of [special characters omitted]-Courant algebroids, the
infinitesimal analogue of multiplicative Courant algebroids. Specific applications include the …
infinitesimal analogue of multiplicative Courant algebroids. Specific applications include the …
SINGULAR REDUCTION OF CONTACT HAMILTONIAN SYSTEMS
Q Xia - Reports on Mathematical Physics, 2024 - Elsevier
SINGULAR REDUCTION OF CONTACT HAMILTONIAN SYSTEMS - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …
Dirac Lie groups, Dirac homogeneous spaces and the theorem of Drinfeld
M Jotz - Indiana University Mathematics Journal, 2011 - JSTOR
The notions of Poisson Lie group and Poisson homogeneous space are extended to the
Dirac category. The theorem of Drinfeld on the one-to-one correspondence between …
Dirac category. The theorem of Drinfeld on the one-to-one correspondence between …
Invariant Poisson realizations and the averaging of Dirac structures
JA Vallejo, Y Vorobiev - SIGMA. Symmetry, Integrability and Geometry …, 2014 - emis.de
We describe an averaging procedure on a Dirac manifold, with respect to a class of
compatible actions of a compact Lie group. Some averaging theorems on the existence of …
compatible actions of a compact Lie group. Some averaging theorems on the existence of …
Approximating Continuous Function by Smooth Functions on Orbit Spaces
L Zhou, Q Xia - Mathematics, 2024 - mdpi.com
In this paper, we study the approximation of continuous functions on a subclass of singular
space—the subcartesian space. As is well known, the orbit space of the proper action of a …
space—the subcartesian space. As is well known, the orbit space of the proper action of a …
Symmetries and reduction of multiplicative 2-forms
H Bursztyn, A Cabrera - arXiv preprint arXiv:1112.5034, 2011 - arxiv.org
This paper is concerned with symmetries of closed multiplicative 2-forms on Lie groupoids
and their infinitesimal counterparts. We use them to study Lie group actions on Dirac …
and their infinitesimal counterparts. We use them to study Lie group actions on Dirac …
Poisson reduction of controlled Hamiltonian system by controllability distribution
TS Ratiu, H Wang - arXiv preprint arXiv:1312.7047, 2013 - arxiv.org
In this paper, we first study the Poisson reductions of controlled Hamiltonian (CH) system
and symmetric CH system by controllability distributions. These reductions are the extension …
and symmetric CH system by controllability distributions. These reductions are the extension …