Abstract.
In this paper we study invariant (α, β)-metrics on homogeneous spaces. We first give a method to construct invariant (α, β)-metrics on homogeneous spaces. Then we obtain some conditions for some special type of (α, β)-metrics to be of Berwald type and Douglas type. At last, we give a rigidity result concerning the Randers metrics and Matsumoto metrics of Berwald type on homogeneous spaces.
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Members of LPMC and supported by NSFC (no. 10671096) and NCET of China.
Second author was corresponding author.
Authors’ address: Huihui An and Shaoqiang Deng, School of Mathematical Sciences, Nankai University, Tianjin, 300071, People’s Republic of China
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An, H., Deng, S. Invariant (α, β)-metrics on homogeneous manifolds. Monatsh Math 154, 89–102 (2008). https://doi.org/10.1007/s00605-007-0529-1
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DOI: https://doi.org/10.1007/s00605-007-0529-1