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A global classification result for Randers metrics of scalar curvature on closed manifolds

Authors :
Xiaohuan Mo
Source :
Nonlinear Analysis: Theory, Methods & Applications. 69:2996-3004
Publication Year :
2008
Publisher :
Elsevier BV, 2008.

Abstract

One important problem in Finsler geometry is that of classifying Finsler metrics of scalar curvature. By investigating the second-order differential equation for a class of Randers metrics with isotropic S -curvature, we give a global classification of these metrics of scalar curvature, generalizing a theorem previously only known in the case of locally projectively flat Randers metrics.

Details

ISSN :
0362546X
Volume :
69
Database :
OpenAIRE
Journal :
Nonlinear Analysis: Theory, Methods & Applications
Accession number :
edsair.doi...........d229ed363e8ae6b81d3cfadb680340c7
Full Text :
https://doi.org/10.1016/j.na.2007.08.067