The fundamental theorem for hypersurfaces in Heisenberg groups

Hung-Lin Chiu; Sin-Hua Lai

doi:10.1007/s00526-015-0818-1

The fundamental theorem for hypersurfaces in Heisenberg groups

期刊文章

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The fundamental theorem for hypersurfaces in Heisenberg groups

Hung-Lin Chiu 和 Sin-Hua Lai

Calculus of Variations and Partial Differential Equations, 卷.54(1), 頁碼.1091-1118

09/2015

DOI: https://doi.org/10.1007/s00526-015-0818-1

摘要

Analysis

Applied Mathematics

We study the local equivalence problems of hypersurfaces in Heisenberg groups via Cartan’s method of moving frames and Lie groups. For non-singular points, we find a complete set of invariants. We also study the integrability conditions for hypersurfaces and show some kind of embedding theorems for surfaces satisfying the integrability conditions.

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題名: The fundamental theorem for hypersurfaces in Heisenberg groups
翻譯題名: The fundamental theorem for hypersurfaces in Heisenberg groups
創作者：: Hung-Lin Chiu (作者) - National Central University
Sin-Hua Lai (作者) - Institute of Mathematics, Academia Sinica
學術資源類型: 期刊文章
出版日期: 09/2015
出版資訊: Calculus of Variations and Partial Differential Equations, 卷.54(1), 頁碼.1091-1118
語言: 英語

The fundamental theorem for hypersurfaces in Heisenberg groups

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