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 - <p style="text-align: justify;">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].</p>