Submanifolds in Cauchy Riemann Geometry
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@Article{JMS-53-471,
author = {Cheng , Jih-Hsin},
title = {Submanifolds in Cauchy Riemann Geometry},
journal = {Journal of Mathematical Study},
year = {2020},
volume = {53},
number = {4},
pages = {471--492},
abstract = {
In this paper I would like to make a report on the results about hypersurfaces in the Heisenberg group and invariant curves and surfaces in CR geometry. The results are contained in the papers [8, 9, 16] and [14]. Besides, I would also report on the results about the strong maximum principle for a class of mean curvature type operators in [10].
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v53n4.20.04}, url = {http://global-sci.org/intro/article_detail/jms/18511.html} }
TY - JOUR
T1 - Submanifolds in Cauchy Riemann Geometry
AU - Cheng , Jih-Hsin
JO - Journal of Mathematical Study
VL - 4
SP - 471
EP - 492
PY - 2020
DA - 2020/12
SN - 53
DO - http://doi.org/10.4208/jms.v53n4.20.04
UR - https://global-sci.org/intro/article_detail/jms/18511.html
KW - Heisenberg group, umbilicity, Pansu sphere, Strong maximum principle, horizontal ($p$−)mean curvature, subriemannian manifold, CR geometry, chain, Kropina metric, pseudohermitian geometry, CR invariant surface area functional, singular Yamabe problem, volume renormalization.
AB -
In this paper I would like to make a report on the results about hypersurfaces in the Heisenberg group and invariant curves and surfaces in CR geometry. The results are contained in the papers [8, 9, 16] and [14]. Besides, I would also report on the results about the strong maximum principle for a class of mean curvature type operators in [10].
Jih-Hsin Cheng. (2020). Submanifolds in Cauchy Riemann Geometry.
Journal of Mathematical Study. 53 (4).
471-492.
doi:10.4208/jms.v53n4.20.04
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