Submanifolds in Cauchy Riemann Geometry

Author(s)

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].

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.
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DOI

10.4208/jms.v53n4.20.04

How to Cite

Submanifolds in Cauchy Riemann Geometry. (2020). Journal of Mathematical Study, 53(4), 471-492. https://doi.org/10.4208/jms.v53n4.20.04