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Submanifolds in Cauchy Riemann Geometry
Authors:Jih-Hsin Cheng
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. Theresults are contained in the papers [8, 9, 16] and [14]. Besides, I would also reporton the results about the strong maximum principle for a class of mean curvature typeoperators 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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