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A characterization of pseudo-Einstein real hypersurfaces of a complex space form
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Mayuko Kon
Published/Copyright:
October 1, 2013
Abstract.
We give a characterization of pseudo-Einstein real hypersurfaces of a complex space form. We prove that if the Ricci tensor S of a real hypersurface M of a complex space form with constant principal curvatures satisfies 
for any 
, where a is a function and T0 is the holomorphic distribution on M, then M is a pseudo-Einstein real hypersurface.
Keywords: Real hypersurface; Ricci tensor; pseudo-Einstein real hypersurface; holomorphic distribution; constant principal curvatures
Received: 2011-06-30
Revised: 2012-09-05
Accepted: 2012-09-06
Published Online: 2013-10-01
Published in Print: 2013-12-01
© 2013 by Walter de Gruyter Berlin Boston
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Keywords for this article
Real hypersurface;
Ricci tensor;
pseudo-Einstein real hypersurface;
holomorphic distribution;
constant principal curvatures
Articles in the same Issue
- Masthead
- A characterization of pseudo-Einstein real hypersurfaces of a complex space form
- An application of Newton-type iterative method for the approximate implementation of Lavrentiev regularization
- Topological conjugation to uniformly piecewise linear transformations
- Strong convergence theorems for the approximation of fixed points of demicontinuous pseudocontractive mappings
- An estimate for the resolvent of a non-selfadjoint differential operator on an unbounded domain
- Nondifferentiable (Φ,ρ)-type I and generalized (Φ,ρ)-type I functions in nonsmooth vector optimization
- An optimal double inequality between logarithmic and generalized logarithmic means
- A further generalization of the 𝒯𝒜d-density topology
- Erratum Bloch varieties of higher-dimensional, periodic Schrödinger operators [J. Appl. Anal. 15 (2009), 33–46]
