切线束上的固有双调和映射

Q3 Mathematics

Communications in Mathematics Pub Date : 2022-11-12 DOI:10.46298/cm.10305

N. Djaa, F. Latti, A. Zagane

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引用次数: 0

摘要

本文利用n维黎曼流形$（M，g）$上Sasaki度量的不相容性定义了切丛$TM$上的Mus梯度度量。首先，我们研究了Mus梯度度量的几何性质，并刻画了一类新的适当双调和映射。当所有因子都是欧几里得空间时，构造了前轨道调和映射的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Proper biharmonic maps on tangent bundle

This paper, we define the Mus-Gradient metric on tangent bundle $TM$ by a deformation non-conform of Sasaki metric over an n-dimensional Riemannian manifold $(M, g)$. First we investigate the geometry of the Mus-Gradient metric and we characterize a new class of proper biharmonic maps. Examples of proper biharmonic maps are constructed when all of the factors are Euclidean spaces.

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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.