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Special invariant operators I

Jarolím Bureš — 1996

Commentationes Mathematicae Universitatis Carolinae

The aim of the first part of a series of papers is to give a description of invariant differential operators on manifolds with an almost Hermitian symmetric structure of the type G / B which are defined on bundles associated to the reducible but undecomposable representation of the parabolic subgroup B of the Lie group G . One example of an operator of this type is the Penrose’s local twistor transport. In this part general theory is presented, and conformally invariant operators are studied in more...

Dirac operators on hypersurfaces

Jarolím Bureš — 1993

Commentationes Mathematicae Universitatis Carolinae

In this paper some relation among the Dirac operator on a Riemannian spin-manifold N , its projection on some embedded hypersurface M and the Dirac operator on M with respect to the induced (called standard) spin structure are given.

Multisymplectic forms of degree three in dimension seven

Bureš, JarolímVanžura, Jiří — 2003

Proceedings of the 22nd Winter School "Geometry and Physics"

A multisymplectic 3-structure on an n -dimensional manifold M is given by a closed smooth 3-form ω of maximal rank on M which is of the same algebraic type at each point of M , i.e. they belong to the same orbit under the action of the group G L ( n , ) . This means that for each point x M the form ω x is isomorphic to a chosen canonical 3-form on n . [Linear Multilinear Algebra 10, 183–204 (1981; Zbl 0464.15001)] and [Linear Multilinear Algebra 13, 3–39 (1983; Zbl 0515.15011)] obtained the classification of 3-forms...

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