Volume 54, Issue 1
The Fundamental and Rigidity Theorems for Pseudohermitian Submanifolds in the Heisenberg Groups

Hung-Lin Chiu

J. Math. Study, 54 (2021), pp. 1-27.

Published online: 2021-01

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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.

  • AMS Subject Headings

32V05, 32V20, 32V30,53C56

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

hlchiu@math.nthu.edu.tw (Hung-Lin Chiu)

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@Article{JMS-54-1, author = {Chiu , Hung-Lin}, title = {The Fundamental and Rigidity Theorems for Pseudohermitian Submanifolds in the Heisenberg Groups}, journal = {Journal of Mathematical Study}, year = {2021}, volume = {54}, number = {1}, pages = {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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v54n1.21.01}, url = {http://global-sci.org/intro/article_detail/jms/18596.html} }
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.

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