arXiv subjects

Léonard Todjihounde

Publications and source records attributed to Léonard Todjihounde.

2 recordsLinked to original sources

arXiv2022

Finslerian metrics locally conformally $R$-Einstein

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.

math.DG↗

arXiv2019

Conformal deformations preserving the Finslerian $R$-Einstein criterion

Given a Finslerian metric $F$ on a $C^4$-manifold, conformal deformations of $F$ preserving the $R$-Einstein criterion are presented. In particular, locally conformal invariance between two Finslerian $R$-Einstein metrics is characterized.

math.GM↗