Submanifolds in Cauchy Riemann Geometry

Authors

  • Jih-Hsin Cheng Institute of Mathematics, Academia Sinica and NCTS, Taipei 100, China.

DOI:

https://doi.org/10.4208/jms.v53n4.20.04

Keywords:

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.

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].

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Published

2020-12-29

Issue

Vol. 53 No. 4 (2020)

Section

Articles