反射映射和球面映射的无穷小变形。

IF 1.2 2区数学 Q1 MATHEMATICS

Journal of Geometric Analysis Pub Date : 2021-01-01 Epub Date: 2019-10-29 DOI:10.1007/s12220-019-00298-w

Michael Reiter

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引用次数: 1

摘要

将D’angelo引入的反射映射应用于球映射非简并条件的推导和球映射无穷小变形的研究。证明了非简并球映射的无限小变形空间的维数由齐次球映射的无限小变形空间的显式计算维数上界。此外，给出了用无穷小变形表示的均匀球映射的表征。

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The Reflection Map and Infinitesimal Deformations of Sphere Mappings.

The reflection map introduced by D'Angelo is applied to deduce simpler descriptions of nondegeneracy conditions for sphere maps and to the study of infinitesimal deformations of sphere maps. It is shown that the dimension of the space of infinitesimal deformations of a nondegenerate sphere map is bounded from above by the explicitly computed dimension of the space of infinitesimal deformations of the homogeneous sphere map. Moreover a characterization of the homogeneous sphere map in terms of infinitesimal deformations is provided.

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来源期刊

Journal of Geometric Analysis 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

290

审稿时长

3 months

期刊介绍： JGA publishes both research and high-level expository papers in geometric analysis and its applications. There are no restrictions on page length.