Abstract. We define a complex connection on a real hypersurface of C^{n+1} which is naturally inherited from the ambient space. Using a system of Codazzi-type equations, we classify connected real hypersurfaces in C^{n+1}, n geq 2, which are Levi umbilical and have non zero constant Levi curvature. It turns out that such surfaces are contained either in a sphere or in the boundary of a complex tube domain with spherical section.
R. Monti, D. Morbidelli (2007). Levi umbilical surfaces in complex space. JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK, 603, 113-131 [10.1515/CRELLE.2007.013].
Levi umbilical surfaces in complex space
MORBIDELLI, DANIELE
2007
Abstract
Abstract. We define a complex connection on a real hypersurface of C^{n+1} which is naturally inherited from the ambient space. Using a system of Codazzi-type equations, we classify connected real hypersurfaces in C^{n+1}, n geq 2, which are Levi umbilical and have non zero constant Levi curvature. It turns out that such surfaces are contained either in a sphere or in the boundary of a complex tube domain with spherical section.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
