Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Pelletier, Fernand"'
Autor:
Pelletier, Fernand, Cabau, Patrick
In this paper the notion of Dirac structure in finite dimension is extended to the convenient setting. In particular, we introduce the notion of partial Dirac structure on convenient Lie algebroids and manifolds. We then look for those structures who
Externí odkaz:
http://arxiv.org/abs/2409.13497
Autor:
Beltita, Daniel, Pelletier, Fernand
We introduce the notion of \textbf{Q}-principal bundle, which is the appropriate version of principal fibre bundles in the setting of R. Barre's \textbf{Q}-manifolds. As an application, we prove that every transitive Lie algebroid arises from the Ati
Externí odkaz:
http://arxiv.org/abs/2404.10607
Autor:
Cabau, Patrick, Pelletier, Fernand
This paper offers an adaptation to the convenient setting of finite dimensional Nambu-Poisson structures. In particular, for partial Nambu structures, we look for those whose classical geometrical results in finite dimension can be extended to this i
Externí odkaz:
http://arxiv.org/abs/2404.08688
Autor:
Pelletier, Fernand, Cabau, Patrick
Let $p_E : E \to M$ be a fibre bundle over the $m$-dimensional manifold $M$ whose typical fibre is the vector space $\R^e$ and let $p_F : F \to N$ be a fibre bundle over the $n$-dimensional manifold $N$ whose typical fibre is the vector space $\R^f$.
Externí odkaz:
http://arxiv.org/abs/2312.11931
Autor:
Beltita, Daniel, Pelletier, Fernand
We investigate the quotients of Banach manifolds with respect to free actions of pseudogroups of local diffeomorphisms. These quotient spaces are called H-manifolds since the corresponding simply transitive action of the pseudogroup on its orbits is
Externí odkaz:
http://arxiv.org/abs/2305.16167
Autor:
Cabau, Patrick, Pelletier, Fernand
We introduce three notions of partial bihamiltonian structures ($\operatorname{PQ}$, $\operatorname{PN}$ et $\operatorname{P\Omega}$) in the convenient setting defined by Fr\"{o}licher, Kriegl and Michor. We study geometrical objects linked with thes
Externí odkaz:
http://arxiv.org/abs/2207.11601
Autor:
Cabau, Patrick, Pelletier, Fernand
Publikováno v:
In Bulletin des sciences mathématiques October 2024 195
Autor:
Goliński, Tomasz, Pelletier, Fernand
We consider regulated curves in a Banach bundle whose projection on the basis is continuous with regulated derivative. We build a Banach manifold structure on the set of such curves. This result was previously obtained for the case of strong Riemanni
Externí odkaz:
http://arxiv.org/abs/2112.14690
Autor:
Cabau, Patrick, Pelletier, Fernand
This paper is a survey (may be incomplete) on partial Nambu-Poisson structures in infinite dimension, mainly in the convenient setting. These ones can be seen as a generalization of both partial Poisson and Nambu-Poisson structures. We also study the
Externí odkaz:
http://arxiv.org/abs/2112.14592
Autor:
Pelletier, Fernand
We give an integrability criterion for a projective limit of Banach distributions on a Fr\'echet manifold which is a projective limit of Banach manifolds. This leads to a result of integrability of projective limit of involutive bundles on a projecti
Externí odkaz:
http://arxiv.org/abs/2105.00245