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Pure Mathematics 2025
半C-可约共形双扭曲积芬斯勒度量
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Abstract:
设F1和F2分别是光滑流形M1和M2上的芬斯勒度量，共形双扭曲积芬斯勒度量是在乘积流形M=M1×M2上赋予的芬斯勒度量, 其中f1、f2和$\sigma$分别是M1 、M2和M上的正值光滑函数。本文证明了半C-可约共形双扭曲积芬斯勒度量是类C2芬斯勒度量。
Let F1 and F2 be two Finsler metrics on smooth manifold M1 and M2,respectively.The conformally doubly warped product Finsler metric is a Finsler metric endowed on the M=M1×M2 ,where f1、f2 and $\sigma$ are positive smooth functions onM1 、M2 and M, respectively.It is proved that semi-C-reducible conformally doubly warped product Finsler metric is a C2.
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