English

Finslerian metrics locally conformally $R$-Einstein

Differential Geometry 2022-03-22 v3

Abstract

Let RR be the hhhh-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 RR-Einstein metrics is given. Finslerian metrics which are locally conformally RR-Einstein are classified.

Keywords

Cite

@article{arxiv.1811.04077,
  title  = {Finslerian metrics locally conformally $R$-Einstein},
  author = {Serge Degla and Gilbert Nibaruta and Léonard Todjihounde},
  journal= {arXiv preprint arXiv:1811.04077},
  year   = {2022}
}
R2 v1 2026-06-23T05:10:51.123Z