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On a class of weak Landsberg metrics

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Abstract

In this paper, we discuss a class of Finsler metrics defined by a Riemannian metric and a 1-form on a manifold. We characterize weak Landsberg metrics in this class and show that there exist weak Landsberg metrics which are not Landsberg metrics in dimension greater than two.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou, 310028, China

    Ben-ling Li

  2. Department of Mathematical Sciences, Indiana University Purdue University Indianapolis (IUPUI), 402 N. Blackford Street, Indianapolis, IN, 46202-3216, USA

    Zhong-min Shen

  3. Center of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, China

    Zhong-min Shen

Authors
  1. Ben-ling Li
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  2. Zhong-min Shen
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Corresponding author

Correspondence to Ben-ling Li.

Additional information

This work was partially supported by the National Natural Science Foundation of China (Grant Nos. 10571154 and 10671214) and the Natural Science Foundation on IR/D

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Li, Bl., Shen, Zm. On a class of weak Landsberg metrics. SCI CHINA SER A 50, 573–589 (2007). https://doi.org/10.1007/s11425-007-0021-8

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  • DOI: https://doi.org/10.1007/s11425-007-0021-8

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