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Conference on Geometry and Mathematical Physics, Bulgaria, Zlatograd, 28.08-01.09.2005

Tsanov, V. (1997)

Serdica Mathematical Journal

List of ParticipantsOrganizing committee: Vasil Tsanov – Sofia University (Chairman), Harry Aleksiev – High School for Management and Laguages in Zlatograd (Local Organizer), Leon Farhy – Sofia University (Scientific Secretary), Emil Horozov – Sofia University, Ivailo Mladenov – Bulgarian Academy of Sciences, Angel Zhivkov – Sofia University.

Connection induced geometrical concepts

Musilová, Pavla, Musilová, Jana (2006)

Proceedings of the 25th Winter School "Geometry and Physics"

Summary: Geometrical concepts induced by a smooth mapping f : M N of manifolds with linear connections are introduced, especially the (higher order) covariant differentials of the mapping tangent to f and the curvature of a corresponding tensor product connection. As an useful and physically meaningful consequence a basis of differential invariants for natural operators of such smooth mappings is obtained for metric connections. A relation to geometry of Riemannian manifolds is discussed.

Connections for non-holonomic 3-webs

Vanžurová, Alena (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

A non-holonomic 3-web is defined by two operators P and B such that P is a projector, B is involutory, and they are connected via the relation P B + B P = B . The so-called parallelizing connection with respect to which the 3-web distributions are parallel is defined. Some simple properties of such connections are found.

Connections on higher order principal prolongations

Vašík, Petr (2006)

Proceedings of the 25th Winter School "Geometry and Physics"

Geometric constructions of connections on the higher order principal prolongations of a principal bundle are considered. Moreover, the existing differences among connections on non-holonomic, semiholonomic and holonomic principal prolongations are discussed.

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