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