Finslerian metrics locally conformally R-Einstein

2018/11/09 by Serge Degla, Degla, Serge, Gilbert Nibaruta +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #math.DG #msc:53C60 #msc:58B20

paper · pdf · doi:10.48550/arxiv.1811.04077

arxiv created 2022/03/20 · arxiv updated 2022/03/22

Abstract

Let R be the hh-curvature associated with the Chern connection or the Cartan connection. Adopting the pulled-back tangent bundle approach to the Finslerian Geometry, an intrinsic characterization of R-Einstein metrics is given. Finslerian metrics which are locally conformally R-Einstein are classified.

Cited by

• Conformal deformations preserving the Finslerian R-Einstein criterion

Related

• Conformal deformations preserving the Finslerian R-Einstein criterion
• DISIMb(2) Local Relativistic Symmetry and Finslerian Extension of the Theory of Relativity
• On A Class of Finsler Metrics of Einstein-Reversibility
• Finsleroid gives rise to the angle-preserving connection
• On Asanov's Finsleroid-Finsler metrics as the solutions of a conformal rigidity problem