一类具有消失χ曲率的(α,β)-度量A Class of(α, β)-Metrics with Vanishing χ Curvature
麻翠玲,张晓玲,何勇
摘要(Abstract)：
在芬斯勒几何中，χ曲率是由S曲率定义的一个重要的非黎曼量.研究了一类具有消失χ曲率的(α,β)-度量.首先，给出了一类(α,β)-度量的χ曲率表达式；其次得到了其具有消失χ曲率的刻画方程；最后，构造了一系列具有消失χ曲率的(α,β)-度量.
关键词(KeyWords)： (α,β)-度量;S曲率;χ曲率;多项式(α,β)-度量
基金项目(Foundation): 国家自然科学基金(11961061; 11461064; 11761069);; 新疆大学博士启动基金(BS130107)
作者(Author): 麻翠玲,张晓玲,何勇
DOI: 10.13568/j.cnki.651094.651316.2021.04.09.0001
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