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]
Full text disponibile come:
[thumbnail of direction.pdf]
Anteprima
Documento PDF
Licenza: Creative Commons Attribution Non-commercial 3.0 (CC BY-NC 3.0)

Download (169kB) | Anteprima

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
Tipologia del documento
Preprint
Autori
AutoreAffiliazioneORCID
Martino, Vittorio
Montanari, Annamaria
Parole chiave
Characteristic direction, Levi form, geodesic
Settori scientifico-disciplinari
DOI
Data di deposito
18 Mar 2008
Ultima modifica
06 Mag 2015 07:42
URI

Altri metadati

Statistica sui download

Statistica sui download

Gestione del documento: Visualizza il documento

^