TY - JOUR T1 - The Fundamental and Rigidity Theorems for Pseudohermitian Submanifolds in the Heisenberg Groups AU - Chiu , Hung-Lin JO - Journal of Mathematical Study VL - 1 SP - 1 EP - 27 PY - 2021 DA - 2021/01 SN - 54 DO - http://doi.org/10.4208/jms.v54n1.21.01 UR - https://global-sci.org/intro/article_detail/jms/18596.html KW - Motion equations, structure equations, Darboux frame, Darboux derivative. AB -

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.