On complete Finsler spaces of constant negative Ricci curvature

DOI10.1142/S0219887820500413arXiv2002.08008OpenAlexW3102229293WikidataQ125365493 ScholiaQ125365493MaRDI QIDQ6120326

Behroz Bidabad, Maryam Sepasi

Publication date: 20 February 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Abstract: Here, using the projectively invariant pseudo-distance and Schwarzian derivative, it is shown that every connected complete Finsler space of the constant negative Ricci scalar is reversible. In particular, every complete Randers metric of constant negative Ricci (or flag) curvature is Riemannian.

Full work available at URL: https://arxiv.org/abs/2002.08008

zbMATH Keywords

distanceRicci tensorreversibleSchwarzianprojectiveFinslerRanders

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

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The Schwarzian derivative on Finsler manifolds of constant curvature

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