齐次双利基平面流形的无穷族

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-05-25 DOI:10.1142/S0219199722500754

F. Podestà, Alberto Raffero

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引用次数: 5

摘要

．从内型紧致对称空间出发，给出了无限族的紧致齐次空间，它们携带不变非平坦Bismut连接，且具有消失的Ricci张量。这些例子证明是4阶的广义对称空间，并且(直到覆盖)可以被实现为Bismut平面模型空间的最小子流形，即紧李群。这种构造推广了对称空间的标准卡坦嵌入。

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Infinite families of homogeneous bismut ricci flat manifolds

. Starting from compact symmetric spaces of inner type, we provide inﬁnite families of compact homogeneous spaces carrying invariant non-ﬂat Bismut connections with vanishing Ricci tensor. These examples turn out to be generalized symmetric spaces of order 4 and (up to coverings) can be realized as minimal submanifolds of the Bismut ﬂat model spaces, namely compact Lie groups. This construction generalizes the standard Cartan embedding of symmetric spaces.

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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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.