Characterizing algebras of -functions on manifolds
Among all -algebras we characterize those which are algebras of -functions on second countable Hausdorff -manifolds.
Peter W. Michor, Jiří Vanžura (1996)
Commentationes Mathematicae Universitatis Carolinae
Among all -algebras we characterize those which are algebras of -functions on second countable Hausdorff -manifolds.
Paulette Libermann (2007)
Banach Center Publications
We outline some of the tools C. Ehresmann introduced in Differential Geometry (fiber bundles, connections, jets, groupoids, pseudogroups). We emphasize two aspects of C. Ehresmann's works: use of Cartan notations for the theory of connections and semi-holonomic jets.
R. Moussu (1983)
Inventiones mathematicae
Masahiro Shiota (1983)
Annales de l'institut Fourier
A semi-algebraic analytic manifold and a semi-algebraic analytic map are called a Nash manifold and a Nash map respectively. We clarify the category of Nash manifolds and Nash maps.
Jan Vondra (2008)
Archivum Mathematicum
We consider a vector bundle and the principal bundle of frames of . Let be a principal connection on and let be a linear connection on . We classify all principal connections on naturally given by and .
Lucia Alessandrini, Marco Andreatta (1987)
Compositio Mathematica
Vlad Sergiescu (1985)
Annales de l'institut Fourier
Nous démontrons des théorèmes de dualité de Poincaré et de de Rham pour la cohomologie basique et l’homologie des courants transverses invariants d’un feuilletage riemannien.
Jean-Claude Picaud (1997)
Bulletin de la Société Mathématique de France
Rémi Léandre (1996)
Séminaire de probabilités de Strasbourg
Aziz El Kacimi Alaoui, Jihène Slimène (2010)
Annales de l’institut Fourier
La cohomologie de Dolbeault feuilletée mesure l’obstruction à résoudre le problème de Cauchy-Riemann le long des feuilles d’un feuilletage complexe. En utilisant des méthodes de cohomologie des groupes, nous calculons cette cohomologie pour deux classes de feuilletages : i) le feuilletage complexe affine de Reeb de dimension (complexe) 2 sur la variété de Hopf de dimension 5 ; ii) les feuilletages complexes sur le tore hyperbolique (fibration en tores de dimension n au-dessus d’un cercle et de monodromie...
Djibrilla Garba Belko (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
W. M. Tulczyjew (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Sardanashvily, Gennadi (2002)
International Journal of Mathematics and Mathematical Sciences
Ieke Moerdijk, Reyes Gonzalo E. (1986)
Revista colombiana de matematicas
Josef Janyška, Martin Markl (2012)
Archivum Mathematicum
This paper is a continuation of [2], dealing with a general, not-necessarily torsion-free, connection. It characterizes all possible systems of generators for vector-field valued operators that depend naturally on a set of vector fields and a linear connection, describes the size of the space of such operators and proves the existence of an ‘ideal’ basis consisting of operators with given leading terms which satisfy the (generalized) Bianchi–Ricci identities without corrections.
Nicolae Teleman (1980)
Inventiones mathematicae
Kock, Anders (1997)
Theory and Applications of Categories [electronic only]
Anders Kock (1985)
Czechoslovak Mathematical Journal
Stacey, Andrew (2011)
Theory and Applications of Categories [electronic only]
Th. De Pauw (2007)
Revista Matemática Iberoamericana