The Fundamental and Rigidity Theorems for Pseudohermitian Submanifolds in the Heisenberg Groups

The Fundamental and Rigidity Theorems for Pseudohermitian Submanifolds in the Heisenberg Groups

Year:    2021

Author:    Hung-Lin Chiu

Journal of Mathematical Study, Vol. 54 (2021), Iss. 1 : pp. 1–27

Abstract

In this paper, we study some basic geometric properties of pseudohermitian submanifolds of the Heisenberg groups. In particular, we obtain the uniqueness and existence theorems, and some rigidity theorems.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v54n1.21.01

Journal of Mathematical Study, Vol. 54 (2021), Iss. 1 : pp. 1–27

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    27

Keywords:    Motion equations structure equations Darboux frame Darboux derivative.

Author Details

Hung-Lin Chiu