半C-可约共形双扭曲积芬斯勒度量
Semi-C-Reducible Conformally Doubly Warped Product Finsler Metric
摘要: 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 F 2 = e 2  ( f 2 2 F 2 1 + f 2 1 F 2 2 ) , Ù , 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。
Abstract: Let F1 and F2 be two Finsler metrics on smooth manifold M1 and M2,respectively.The conformally doubly warped product Finsler metric F 2 = e 2  ( f 2 2 F 2 1 + f 2 1 F 2 2 ) , Ù 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.
文章引用：加依达尔·里扎别克, 何勇, 杨蕊嘉, 陈静雅. 半C-可约共形双扭曲积芬斯勒度量[J]. 理论数学, 2025, 15(4): 330-337. https://doi.org/10.12677/pm.2025.154136

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