一类Finsler子流形的研究
The Study of a Class of Finsler Submanifolds
DOI: 10.12677/PM.2021.116116, PDF,    科研立项经费支持
作者: 晏 文：西南交通大学数学学院，四川 成都
关键词: 自然恒等式；(α；β)-流形；极小子流形；A Natural Identity； (α；β)-Manifold； Minimal Submanifold
摘要: 本文主要利用一个自然恒等式并且考虑一类特殊(α,β)-流形 且φ(0)=1，其中ã是Riemann度量，是一个1-形式。旨在利用自然恒等式研究一类特殊(α,β)-流形在一定条件下不存在闭的可定向的BH-极小子流形和闭的可定向的HT-极小曲面。
Abstract: In this paper, we mainly use a natural identity and consider a class of special manifolds with an  (α,β)-metric in which ã is the Riemannian metric, and is a one-form. We aim to study a class of special manifolds by using the natural identity. Under certain conditions, there are no closed orientable BH-minimal submanifolds and closed orientable HT-minimal surfaces.
文章引用：晏文. 一类Finsler子流形的研究[J]. 理论数学, 2021, 11(6): 1020-1030. https://doi.org/10.12677/PM.2021.116116

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