Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• Main Author: Vacaru, S.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149011
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics / S.I. Vacaru // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 45 назв. — англ.

We formulate an approach to the geometry of Riemann-Cartan spaces provided with nonholonomic distributions defined by generic off-diagonal and nonsymmetric metrics inducing effective nonlinear and affine connections. Such geometries can be modelled by moving nonholonomic frames on (pseudo) Riemannia...