### Quaternionic Kähler Manifolds.

Simon Salamon (1982)

Inventiones mathematicae

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Simon Salamon (1982)

Inventiones mathematicae

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Mangione, Vittorio (2003)

Balkan Journal of Geometry and its Applications (BJGA)

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Koji Matsuo, Takao Takahashi (2001)

Colloquium Mathematicae

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We prove that every compact balanced astheno-Kähler manifold is Kähler, and that there exists an astheno-Kähler structure on the product of certain compact normal almost contact metric manifolds.

Loi, Andrea, Zedda, Michela (2010)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 53C42, 53C55. Let M f → CP^n be an algebraic manifold of complex dimension d and let σf be its second fundamental form. In this paper we address the following conjecture, which is the analogue of the one stated by M. Gromov for smooth immersions: ... We prove the conjecture in the following three cases: (i) d = 1; (ii) M is a complete intersection; (iii) the scalar curvature of M is constant.

Charles P. Boyer, K. Galicki, B. Mann (1994)

Journal für die reine und angewandte Mathematik

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Habib Bouzir, Gherici Beldjilali, Mohamed Belkhelfa, Aissa Wade (2017)

Archivum Mathematicum

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The aim of this paper is two-fold. First, new generalized Kähler manifolds are constructed starting from both classical almost contact metric and almost Kählerian manifolds. Second, the transformation construction on classical Riemannian manifolds is extended to the generalized geometry setting.

Sławomir Dinew (2007)

Annales Polonici Mathematici

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We study Cegrell classes on compact Kähler manifolds. Our results generalize some theorems of Guedj and Zeriahi (from the setting of surfaces to arbitrary manifolds) and answer some open questions posed by them.

Alexander Schmitt (1996)

Journal für die reine und angewandte Mathematik

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El-Ghoul, M., El-Ahmady, A.E., Abu-Saleem, M. (2007)

APPS. Applied Sciences

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Francesco Costantino (2005)

Fundamenta Mathematicae

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We give a self-contained introduction to the theory of shadows as a tool to study smooth 3-manifolds and 4-manifolds. The goal of the present paper is twofold: on the one hand, it is intended to be a shortcut to a basic use of the theory of shadows, on the other hand it gives a sketchy overview of some of the most recent results on shadows. No original result is proved here and most of the details of the proofs are left out.

Andrei Moroianu (2015)

Complex Manifolds

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We show that for n > 2 a compact locally conformally Kähler manifold (M2n , g, J) carrying a nontrivial parallel vector field is either Vaisman, or globally conformally Kähler, determined in an explicit way by a compact Kähler manifold of dimension 2n − 2 and a real function.

M.J. Kreuzmann, P.-M. Wong (1990)

Mathematische Annalen

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P. H. Doyle (1974)

Colloquium Mathematicae

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L. Szamkołowicz (1969)

Colloquium Mathematicae

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Pripoae, Cristina Liliana, Pripoae, Gabriel Teodor (2005)

Balkan Journal of Geometry and its Applications (BJGA)

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Michela Zedda (2017)

Complex Manifolds

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In this paper we study Kähler manifolds that are strongly not relative to any projective Kähler manifold, i.e. those Kähler manifolds that do not share a Kähler submanifold with any projective Kähler manifold even when their metric is rescaled by the multiplication by a positive constant. We prove two results which highlight some relations between this property and the existence of a full Kähler immersion into the infinite dimensional complex projective space. As application we get that...

M. Levine (1983)

Inventiones mathematicae

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Michael G. Eastwood, Toby N. Bailey (1991)

Forum mathematicum

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