Gauss-Bonnet type identity in Weyl-Cartan space
O.V. Babourova, B.N. Frolov (Department of Mathematics, Moscow State, Pedagogical University)
TL;DR
This paper derives a Gauss-Bonnet type identity within Weyl-Cartan space using variational methods, expanding the understanding of geometric invariants in generalized gravitational theories.
Contribution
It introduces a novel derivation of the Gauss-Bonnet identity specifically tailored for Weyl-Cartan geometry, which was not previously established.
Findings
Established a Gauss-Bonnet type identity in Weyl-Cartan space
Provided a variational derivation method for geometric invariants
Enhanced theoretical framework for gravitational theories in generalized geometries
Abstract
The Gauss-Bonnet type identity is derived in a Weyl-Cartan space on the basis of the variational method.
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