Abstract
The purpose of the present paper is to investigate the influence of strictly convex functions on the metric structures of complete Finsler manifolds. More precisely we discuss the properties of the group of isometries and the exponential maps on a complete Finsler manifold admitting strictly convex functions.
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Acknowledgements
This paper was facilitated by a fellowship of the Exploratory Exchanges under the Japan–India Cooperative Science Program for a scientific visit of the second author to India with the host Professor as the third author. Both authors would like to express their thanks to JSPS, Government of Japan and DST, Government of India.
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Communicating Editor: Parameswaran Sankaran
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ITOKAWA, Y., SHIOHAMA, K. & TIWARI, B. Strictly convex functions on complete Finsler manifolds. Proc Math Sci 126, 623–627 (2016). https://doi.org/10.1007/s12044-016-0307-2
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DOI: https://doi.org/10.1007/s12044-016-0307-2