共形开普勒子曼形体

IF 1.1 3区数学 Q1 MATHEMATICS Results in Mathematics Pub Date : 2024-05-22 DOI:10.1007/s00025-024-02203-6

L. J. Alías, S. Chion, M. Dajczer

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引用次数: 0

摘要

本文介绍了共形开普勒子流形领域的两项成果。它们是凯勒流形对标准平面欧几里得空间的保角浸入。这些证明是通过对 Chion 和 Dajczer (Proc Edinb Math Soc 66:810-833, 2023) 为研究凯勒流形到标准双曲空间的等距浸入而开发的若干事实和技术的有力利用而获得的。

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Conformal Kaehler Submanifolds

This paper presents two results in the realm of conformal Kaehler submanifolds. These are conformal immersions of Kaehler manifolds into the standard flat Euclidean space. The proofs are obtained by making a rather strong use of several facts and techniques developed in Chion and Dajczer (Proc Edinb Math Soc 66:810–833, 2023) for the study of isometric immersions of Kaehler manifolds into the standard hyperbolic space.

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来源期刊

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.

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