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Complex Osserman Kähler manifolds in dimension four
-
Miguel Brozos-Vázquez
and
Peter Gilkey
Published/Copyright:
March 1, 2013
Abstract.
Let 
be a 4-dimensional almost-Hermitian manifold which satisfies the Kähler identity. We show that
is complex Osserman if and only if has constant holomorphic sectional curvature. We also
classify in arbitrary dimensions all the complex Osserman Kähler models which do not have three
eigenvalues.
Received: 2010-04-05
Published Online: 2013-03-01
Published in Print: 2013-03-01
© 2013 by Walter de Gruyter Berlin Boston
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Keywords for this article
Complex Osserman model;
Jacobi operator;
Kähler manifold;
Osserman conjecture
Articles in the same Issue
- Masthead
- Non-Lipschitz flow of the nonlinear Schrödinger equation on surfaces
- Gradient estimate of a Dirichlet eigenfunction on a compact manifold with boundary
- A composite map in the stable homotopy groups of spheres
- Length functions, multiplicities and algebraic entropy
- On the Eisenstein cohomology of odd orthogonal groups
- Complex Osserman Kähler manifolds in dimension four
- Mixed multiplicities of multigraded modules
- On the number of maximal chain transitive sets in fiber bundles
- 2-primary factorizations of power maps through the double suspension
- Imprecise probabilities, bets and functional analytic methods in Łukasiewicz logic
