Submanifolds in Cauchy Riemann Geometry

Submanifolds in Cauchy Riemann Geometry

Year:    2020

Author:    Jih-Hsin Cheng

Journal of Mathematical Study, Vol. 53 (2020), Iss. 4 : pp. 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].

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Mathematical Study, Vol. 53 (2020), Iss. 4 : pp. 471–492

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

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.

Author Details

Jih-Hsin Cheng