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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie

IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2017: 1.49

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Volume 2007, Issue 603


Levi umbilical surfaces in complex space

Roberto Monti / Daniele Morbidelli
Published Online: 2007-03-12 | DOI: https://doi.org/10.1515/CRELLE.2007.013


We define a complex connection on a real hypersurface of ℂn+1 which is naturally inherited from the ambient space. Using a system of Codazzi-type equations, we classify connected real hypersurfaces in ℂn+1, n ≧ 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.

About the article

Received: 2005-11-07

Published Online: 2007-03-12

Published in Print: 2007-03-27

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2007, Issue 603, Pages 113–131, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/CRELLE.2007.013.

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