黎曼流形的共形杀伤向量场

Dhaka University Journal of Science Pub Date : 2022-12-18 DOI:10.3329/dujs.v70i2.62601

Md Shapan Miah, Khondokar M. Ahmed

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摘要

本文的主要目的是研究流形的向量场，以及这些向量场如何成为消杀和保形消杀向量场。本文讨论了与从g到g的度量共形相关的Weyl重标度的共形变换、Levi-Civita连接Δ、Lie导数、多线性映射中流形N的张量概念的扭力。最后，我们证明了例3.02，并建立了保形杀伤向量场的定理6.02。达卡大学学报(自然科学版)，70(2):18-22,2022 (7)

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Conformal Killing Vector Fields of Riemannian Manifolds

The main aim of this article to study about vector fields of manifold and how these vector fields will be Killing and Conformal Killing vector fields. Conformal transformation of Weyl rescaling which is conformally related to metrices from g to g, Levi-Civita connection Δ , Lie derivative, torsion with tensor concept of manifold N in a multi-linear map have been treated in this paper. Finally, we have been proved Example 3.02and established the theorem 6.02 on Conformal Killing vector fields. Dhaka Univ. J. Sci. 70(2): 18-22, 2022 (July)

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Dhaka University Journal of Science

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