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Levi umbilical surfaces in complex space
-
Roberto Monti
und
Daniele Morbidelli
Veröffentlicht/Copyright:
12. März 2007
Abstract
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.
Received: 2005-11-07
Published Online: 2007-03-12
Published in Print: 2007-03-27
© Walter de Gruyter
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Artikel in diesem Heft
- Massey products and ideal class groups
- Purity of exponential sums on 𝔸n, II
- Sheaves on Artin stacks
- Levi umbilical surfaces in complex space
- A realization of the Hecke algebra on the space of period functions for Γ0 (n)
- The 5-canonical system on 3-folds of general type
- On Spin L-functions for GSO10
- Nonexistence of higher codimensional Levi-flat CR manifolds in symmetric spaces
Artikel in diesem Heft
- Massey products and ideal class groups
- Purity of exponential sums on 𝔸n, II
- Sheaves on Artin stacks
- Levi umbilical surfaces in complex space
- A realization of the Hecke algebra on the space of period functions for Γ0 (n)
- The 5-canonical system on 3-folds of general type
- On Spin L-functions for GSO10
- Nonexistence of higher codimensional Levi-flat CR manifolds in symmetric spaces
