Infinite families of homogeneous bismut ricci flat manifolds

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

引用次数: 5

Abstract

. 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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齐次双利基平面流形的无穷族

．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。

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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