A family of special case sequential warped-product manifolds

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3934/jgm.2023006

A. Pigazzini, C. Özel, Saeid Jafari, R. Pinčák, A. DeBenedictis

引用次数: 0

Abstract

We derive the general formulas for a special configuration of the sequential warped-product semi-Riemannian manifold to be Einstein, where the base-manifold is the product of two manifolds both equipped with a generic diagonal conformal metrics. Subsequently we study the case in which these two manifolds are conformal to a $ n_1 $-dimensional and $ n_2 $-dimensional pseudo-Euclidean space, respectively. For the latter case, we prove the existence of a family of solutions that are invariant under the action of a $ (n_1-1) $-dimensional group of transformations to the case of positive constant Ricci curvature ($ \lambda > 0 $).

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一类特殊情况下序列翘曲积流形

我们导出了序列翘曲积半黎曼流形为爱因斯坦的一种特殊构型的一般公式，其中基流形是两个具有一般对角共形度量的流形的积。随后，我们研究了这两个流形分别保角于$ n_1 $维和$ n_2 $维伪欧几里德空间的情况。对于后一种情况，我们证明了对于正常数Ricci曲率($ \ λ > 0 $)，在$ (n_1-1) $维变换群作用下解族不变的存在性。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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