Almost Hermitian structures on the frame bundle of an almost Hermitian manifold
R. Castro, A. Tarrio (1990)
Annales Polonici Mathematici
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Displaying similar documents to “An anti-Kählerian Einstein structure on the tangent bundle of a space form”
Almost Hermitian structures on the frame bundle of an almost Hermitian manifold
Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles
Simona-Luiza Druţă-Romaniuc (2012)
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We obtain the natural diagonal almost product and locally product structures on the total space of the cotangent bundle of a Riemannian manifold. Studying the compatibility and the anti-compatibility relations between the determined structures and a natural diagonal metric, we find the Riemannian almost product (locally product) and the (almost) para-Hermitian cotangent bundles of natural diagonal lift type. Finally, we prove the characterization theorem for the natural diagonal (almost)...
Some results on the frame bundle of an almost contact metric manifold
Ana Dorotea Tarrío Tobar (1987)
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A note on a hermitian analog of Einstein spaces
Roberto Catenacci, Annalisa Marzuoli (1984)
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Selfdual Einstein hermitian four-manifolds
Vestislav Apostolov, Paul Gauduchon (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We provide a local classification of selfdual Einstein riemannian four-manifolds admitting a positively oriented hermitian structure and characterize those which carry a hyperhermitian, non-hyperkähler structure compatible with the negative orientation. We show that selfdual Einstein 4-manifolds obtained as quaternionic quotients of and are hermitian.
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...
Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact -structure
Francisco Martín Cabrera (1998)
Czechoslovak Mathematical Journal
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We consider almost hyper-Hermitian structures on principal fibre bundles with one-dimensional fiber over manifolds with almost contact 3-structure and study relations between the respective structures on the total space and the base. This construction suggests the definition of a new class of almost contact 3-structure, which we called trans-Sasakian, closely connected with locally conformal quaternionic Kähler manifolds. Finally we give a family of examples of hypercomplex manifolds...