Finslerian metrics locally conformally $R$-Einstein
Serge Degla, Gilbert Nibaruta, L\'eonard Todjihounde
TL;DR
This paper provides an intrinsic characterization and classification of Finslerian metrics that are locally conformally $R$-Einstein, using the pulled-back tangent bundle approach and focusing on the $hh$-curvature.
Contribution
It introduces an intrinsic characterization of $R$-Einstein Finsler metrics and classifies those that are locally conformally $R$-Einstein.
Findings
Intrinsic characterization of $R$-Einstein metrics in Finsler geometry.
Classification of locally conformally $R$-Einstein Finsler metrics.
Abstract
Let be the -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 -Einstein metrics is given. Finslerian metrics which are locally conformally -Einstein are classified.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Cosmology and Gravitation Theories