Displaying similar documents to “Reduction in contact geometry.”

Cartan geometry, supergravity and group manifold approach

Jordan François, Lucrezia Ravera (2024)

Archivum Mathematicum

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We make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providing motivations. In a first part we review the geometry of classical gauge theory, as a background for understanding gauge theories of gravity in terms of Cartan geometry. The second part introduces the basics of the group manifold approach to supergravity, hinting at the deep rooted connections to Cartan supergeometry....

Conditions for integrability of a 3-form

Jiří Vanžura (2017)

Archivum Mathematicum

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We find necessary and sufficient conditions for the integrability of one type of multisymplectic 3-forms on a 6-dimensional manifold.