Universal connections on Lie groupoids.
Vassiliou, Efstathios, Nikolopoulos, Apostolos (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Displaying similar documents to “Principal bundles, groupoids, and connections”
Universal connections on Lie groupoids.
Charles Ehresmann's concepts in differential geometry
Paulette Libermann (2007)
Banach Center Publications
Similarity:
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.
Equivalence and disintegration theorems for Fell bundles and their C*-algebras
Paul S. Muhly, Dana P. Williams
Similarity:
We study the C*-algebras of Fell bundles. In particular, we prove the analogue of Renault's disintegration theorem for groupoids. As in the groupoid case, this result is the key step in proving a deep equivalence theorem for the C*-algebras of Fell bundles.
Principal fibre bundles with structural Lie groupoid.
Ivan, Gheorghe (2001)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Exponential mapping for Lie groupoids. Applications
Jan Kubarski (1987)
Colloquium Mathematicae
Similarity:
Twisted K-theory of differentiable stacks
Jean-Louis Tu, Ping Xu, Camille Laurent-Gengoux (2004)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Strong morphisms of groupoids.
Ivan, Gh. (1999)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
In Ehresmann's footsteps: from group geometries to groupoid geometries
Jean Pradines (2007)
Banach Center Publications
Similarity:
The geometric understanding of Cartan connections led Charles Ehresmann from the Erlangen program of (abstract) transformation groups to the enlarged program of Lie groupoid actions, via the basic concept of structural groupoid acting through the fibres of a (smooth) principal fibre bundle or of its associated bundles, and the basic examples stemming from the manifold of jets (fibred by its source or target projections). We show that the remarkable relation arising between the actions...
Inflations of the AG-groupoids.
Stevanović, Nebojša, Protić, Petar P. (1999)
Novi Sad Journal of Mathematics
Similarity:
Transitivity, Associativity And Bisymmetry Equations On GD-Groupoids
V. Sathyabhama (1977)
Publications de l'Institut Mathématique
Similarity:
C*-algebra of a differential groupoid
Piotr Stachura (2000)
Banach Center Publications
Similarity:
Generalized distributivity equation on GD-groupoids
V. Sathyabhama (1977)
Matematički Vesnik
Similarity:
Canonical Objects in Classes of (n, V)-Groupoids
Celakoska-Jordanova, Vesna (2010)
Mathematica Balkanica New Series
Similarity:
AMS Subj. Classification: 03C05, 08B20 Free algebras are very important in studying classes of algebras, especially varieties of algebras. Any algebra that belongs to a given variety of algebras can be characterized as a homomorphic image of a free algebra of that variety. Describing free algebras is an important task that can be quite complicated, since there is no general method to resolve this problem. The aim of this work is to investigate classes of groupoids, i.e. algebras...