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A note on the Yamabe problem of Randers metrics

A note on the Yamabe problem of Randers metrics

Authors :
Bin Chen
Siwei Liu
Source :
AUT Journal of Mathematics and Computing, Vol 2, Iss 2, Pp 165-170 (2021)
Publication Year :
2021
Publisher :
Amirkabir University of Technology, 2021.

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.

Details

Language :
English
ISSN :
27832449 and 27832287
Volume :
2
Issue :
2
Database :
Directory of Open Access Journals
Journal :
AUT Journal of Mathematics and Computing
Publication Type :
Academic Journal
Accession number :
edsdoj.9d3b0631043455ca1f55bda18a7cf08
Document Type :
article
Full Text :
https://doi.org/10.22060/ajmc.2021.20199.1056