齐次双利基平面流形的无穷族

IF 1.2 2区数学 Q1 MATHEMATICS Communications in Contemporary Mathematics 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

Communications in Contemporary Mathematics 数学-数学

CiteScore

2.90

自引率

6.20%

发文量

审稿时长

>12 weeks

期刊介绍： With traditional boundaries between various specialized fields of mathematics becoming less and less visible, Communications in Contemporary Mathematics (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.