黄金黎曼流形的全面回顾

arXiv - MATH - Differential Geometry Pub Date : 2024-08-05 DOI:arxiv-2408.02800

Bang-Yen Chen, Majid Ali Choudhary, Afshan Perween

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引用次数: 0

摘要

在微分几何学中，黄金结构的概念最初是由 S. I. Goldberg 和 K. Yano 于 1970 年提出的，它是一个具有广泛应用的引人注目的领域。2008 年，C. E. Hretcanu 和 M. Crasmareanu 根据黄金结构的原理，开始了对黄金黎曼流形的探索。随后，众多研究人员对黄金黎曼流形发表了重要见解。本文旨在对过去十年间有关黄金黎曼流形的研究进行全面梳理。

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 comprehensive review of golden Riemannian manifolds

In differential geometry, the concept of golden structure, initially proposed by S. I. Goldberg and K. Yano in 1970, presents a compelling area with wide-ranging applications. The exploration of golden Riemannian manifolds was initiated by C. E. Hretcanu and M. Crasmareanu in 2008, following the principles of the golden structure. Subsequently, numerous researchers have contributed significant insights into golden Riemannian manifolds. The purpose of this paper is to provide a comprehensive survey on golden Riemannian manifold done over the past decade.

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arXiv - MATH - Differential Geometry

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