沿黎曼淹没的三谐曲线

IF 0.7 Q2 MATHEMATICS
Gizem Koprulu Karakas, B. Şahin
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引用次数: 0

摘要

本文的目的是研究从黎曼流形到黎曼流形沿黎曼淹没的三调和曲线。得到了黎曼流形从空间形式(分别为复空间形式)到黎曼流形的总流形上的三调和曲线为基流形上的三调和曲线的充要条件。在定义黎曼淹没的流形的复杂情况下,也研究了上述研究问题。此外,我们给出了沿黎曼淹没的三谐曲线的曲率条件的几个结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Triharmonic curves along Riemannian submersions
The purpose of this paper is to study triharmonic curves along Riemannian submersions from Riemannian manifolds onto Riemannian manifolds. We obtain necessary and sufficient conditions for a triharmonic curve on the total manifoldof Riemannian submersion from a space form ( respectively, a complex space form) to a Riemannian manifold to be triharmonic curve on the base manifold. The above research problem is also studied in the complex setting of the manifoldon which the Riemannian submersion is defined. In addition, we give several results involving curvature conditions for a triharmonic curves along Riemannian submersions.
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来源期刊
CiteScore
1.50
自引率
0.00%
发文量
11
期刊介绍: To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.
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