K\"ahler 流形中最大 CR 维度 CR 子曼形上的准 Yamabe 孤子

Pub Date : 2024-04-07 DOI:10.36890/iejg.1454012

Miloš Djorić, M. Djorić

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引用次数: 0

摘要

本文给出了在任意 K\"{a}hler 流形中最大 CR 维度的 CR 子流形接纳（准）Yamabe 结构的必要条件和充分条件，并自然地选择了孤子向量场。当周围流形是非平面复空间形式时，我们给出了在一定条件下这种孤子的完整分类。

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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Quasi Yamabe solitons on CR submanifolds of maximal CR dimension in K\"ahler manifolds

In this paper we give necessary and sufficient conditions for a CR submanifold of maximal CR dimension in arbitrary K\"{a}hler manifold to admit (quasi-)Yamabe structure, with naturally chosen soliton vector field. When the ambient manifold is a non-flat complex space form, we give a complete classification of such solitons, under certain conditions.

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