A locally symmetric Kähler Einstein structure on the tangent bundle of a space form.
Oproiu, Vasile (1999)
Beiträge zur Algebra und Geometrie
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Oproiu, Vasile (1999)
Beiträge zur Algebra und Geometrie
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Poroşniuc, Dumitru Daniel (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Arif A. Salimov, Filiz Agca (2010)
Annales Polonici Mathematici
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The aim of this paper is to investigate para-Nordenian properties of the Sasakian metrics in the cotangent bundle.
Marco Brunella, Jorge Vitório Pereira, Frédéric Touzet (2006)
Bulletin de la Société Mathématique de France
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This paper is concerned with compact Kähler manifolds whose tangent bundle splits as a sum of subbundles. In particular, it is shown that if the tangent bundle is a sum of line bundles, then the manifold is uniformised by a product of curves. The methods are taken from the theory of foliations of (co)dimension 1.
Arif Salimov, Aydin Gezer, Murat Iscan (2012)
Annales Polonici Mathematici
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The main purpose of this article is to investigate the paraholomorphy property of the Sasaki and Cheeger-Gromoll metrics by using compatible paracomplex stuctures on the tangent bundle.
Poroşniuc, Dumitru Daniel (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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S. Subramanian (1991)
Mathematische Annalen
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Bo Berndtsson (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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These are the lecture notes of a minicourse given at a winter school in Marseille 2011. The aim of the course was to give an introduction to recent work on the geometry of the space of Kähler metrics associated to an ample line bundle. The emphasis of the course was the role of convexity, both as a motivating example and as a tool.
Giovanni Gaiffi, Michele Grassi (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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We prove that one can obtain natural bundles of Lie algebras on rank two -Kähler manifolds, whose fibres are isomorphic respectively to , and . These bundles have natural flat connections, whose flat global sections generalize the Lefschetz operators of Kähler geometry and act naturally on cohomology. As a first application, we build an irreducible representation of a rational form of on (rational) Hodge classes of Abelian varieties with rational period matrix.
Julien Keller, Christina Tønnesen-Friedman (2012)
Open Mathematics
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We provide nontrivial examples of solutions to the system of coupled equations introduced by M. García-Fernández for the uniformization problem of a triple (M; L; E), where E is a holomorphic vector bundle over a polarized complex manifold (M, L), generalizing the notions of both constant scalar curvature Kähler metric and Hermitian-Einstein metric.
Qi Zhang (1994)
Manuscripta mathematica
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Janyška, J., Modugno, M. (1996)
Archivum Mathematicum
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Moroianu, Andrei (1997)
General Mathematics
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Włodzimierz Jelonek (2003)
Annales Polonici Mathematici
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The aim of this paper is to give an easy explicit description of 3-K-contact structures on SO(3)-principal fibre bundles over Wolf quaternionic Kähler manifolds.
Mustafa Özkan, Murat İşcan (2014)
Annales Polonici Mathematici
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A Walker 4-manifold is a pseudo-Riemannian manifold (M₄,g) of neutral signature, which admits a field of parallel null 2-planes. We study almost paracomplex structures on 4-dimensional para-Kähler-Walker manifolds. In particular, we obtain conditions under which these almost paracomplex structures are integrable, and the corresponding para-Kähler forms are symplectic. We also show that Petean's example of a nonflat indefinite Kähler-Einstein 4-manifold is a special case of our constructions. ...