Kähler manifolds with numerically effective Ricci class
Jean-Pierre Demailly, Thomas Peternell, Michael Schneider (1993)
Compositio Mathematica
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Displaying similar documents to “Compact Kähler manifolds with hermitian semipositive anticanonical bundle”
Kähler manifolds with numerically effective Ricci class
Kähler manifolds with small eigenvalues of the Dirac operator and a conjecture of Lichnerowicz
Andrei Moroianu (1999)
Annales de l'institut Fourier
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We describe all compact spin Kähler manifolds of even complex dimension and positive scalar curvature with least possible first eigenvalue of the Dirac operator.
Stable bundles on hypercomplex surfaces
Ruxandra Moraru, Misha Verbitsky (2010)
Open Mathematics
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A hypercomplex manifold is a manifold equipped with three complex structures I, J, K satisfying the quaternionic relations. Let M be a 4-dimensional compact smooth manifold equipped with a hypercomplex structure, and E be a vector bundle on M. We show that the moduli space of anti-self-dual connections on E is also hypercomplex, and admits a strong HKT metric. We also study manifolds with (4,4)-supersymmetry, that is, Riemannian manifolds equipped with a pair of strong HKT-structures...
Closed transverse -forms on compact complex manifolds
Lucia Alessandrini, Marco Andreatta (1987)
Compositio Mathematica
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Hyperkähler manifolds
Nigel Hitchin (1991-1992)
Séminaire Bourbaki
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Some remarks on quaternion-Hermitian manifolds
Andrew Swann (1997)
Archivum Mathematicum
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Nearly-quaternionic Kähler manifolds of dimension at least are shown to be quaternionic Kähler. Restrictions on the covariant derivative of the fundamental four-form of a semi-quaternionic Kähler are also found.