On generalized Berwald manifolds with relatively isotropic Landsberg curvature

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Document Type : Research Paper

Author

Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran

Abstract

The class of generalized Berwald metrics contains the class of Berwald metrics as a special case. Let F= αΦ(s), s=β/α, be a generalized Berwald (α, β)-metric on manifold M. We show that F has vanishing S-curvature  S=0 and is of relatively isotropic Landsberg curvature  L+ cFC=0 if and only if B=0, where c=c(x) is a scalar function on M.

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References

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Journal of Hyperstructures

Articles in Press, Accepted Manuscript
Available Online from 12 March 2025

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