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

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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.

Keywords:

Motion equations structure equations Darboux frame Darboux derivative.
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DOI

10.4208/jms.v54n1.21.01

How to Cite

The Fundamental and Rigidity Theorems for Pseudohermitian Submanifolds in the Heisenberg Groups. (2021). Journal of Mathematical Study, 54(1), 1-27. https://doi.org/10.4208/jms.v54n1.21.01