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.
Levi umbilical surfaces in complex space / R. Monti; D. Morbidelli. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 0075-4102. - STAMPA. - 603:(2007), pp. 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:
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