On the Characteristic Direction of Real Hypersurfaces in C^(N+1) and a Symmetry Result

Martino, Vittorio ; Montanari, Annamaria (2008) On the Characteristic Direction of Real Hypersurfaces in C^(N+1) and a Symmetry Result. [Preprint]
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Abstract

In this paper we show the following property of a non Levi flat real hypersurface in C^(n+1): if the unit characteristic direction T is a geodesic, then it is an eigenvector of the second fundamental form and the relative eigenvalue is constant. As an application we prove a symmetry result, of Alexandrov type, for compact hypersurfaces in C^(n+1) with positive constant Levi mean curvature.

Abstract
Document type
Preprint
Creators
CreatorsAffiliationORCID
Martino, Vittorio
Montanari, Annamaria
Keywords
Characteristic direction, Levi form, geodesic
Subjects
DOI
Deposit date
18 Mar 2008
Last modified
06 May 2015 07:42
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