A note on the Yamabe problem of Randers metrics

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jul 2021 English Publisher:Amirkabir University of TechnologyJournal:AUT Journal of Mathematics and Computing (issn: 2783-2449,

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Authors: Chen, Bin; Liu, Siwei;

doi: 10.22060/ajmc.2021.20199.1056

A note on the Yamabe problem of Randers metrics

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Abstract

The classical Yamabe problem in Riemannian geometry states that every conformal class contains a metric with constant scalar curvature. In Finsler geometry, the C-convexity is needed in general. In this paper, we study the strong C-convexity of Randers metrics, and provide a result on the Yamabe problem for the metrics of Randers type.

Related Organizations

Tongji University
China (People's Republic of)

Keywords

randers metrics, yamabe problem, c-convex, QA1-939, Mathematics

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