黎曼流形切束上一类新的黎曼度量

IF 0.5 Q3 MATHEMATICS

Communications of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/CKMS.C200114

A. Baghban, Saeed Hashemi Sababe

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引用次数: 0

摘要

一类各向同性几乎复杂结构，Jδ，σ，在黎曼流形的切束上定义了一类黎曼度量，gδ，σ，它们是Sasaki度量的推广。本文利用切线束的几何特征刻画了度量gδ，0。作为一个副产品，我们将报道Jδ，σ的一些可积性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A NEW CLASS OF RIEMANNIAN METRICS ON TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD

The class of isotropic almost complex structures, Jδ,σ , define a class of Riemannian metrics, gδ,σ , on the tangent bundle of a Riemannian manifold which are a generalization of the Sasaki metric. This paper characterizes the metrics gδ,0 using the geometry of tangent bundle. As a by-product, some integrability results will be reported for Jδ,σ .

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来源期刊

Communications of the Korean Mathematical Society MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量

期刊介绍： This journal endeavors to publish significant research and survey of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of four issues (January, April, July, October).