Paracomplex projective models and harmonic maps into them.

Erdem, Sadettin

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Displaying similar documents to “Paracomplex projective models and harmonic maps into them.”

Holomorphically pseudosymmetric Kähler metrics on ℂℙⁿ

Włodzimierz Jelonek (2012)

Colloquium Mathematicae

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The aim of this paper is to present examples of holomorphically pseudosymmetric Kähler metrics on the complex projective spaces ℂℙⁿ, where n ≥ 2.

Non-Holomorphic Harmonic morhpisms form Kähler manifolds.

Sigmundur Gudmundsson (1994)

Manuscripta mathematica

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Steinness of universal covers of certain compact Kähler manifolds.

Ngaiming Mok (1997)

Journal für die reine und angewandte Mathematik

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Strongly not relatives Kähler manifolds

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...

ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds

Le Mau Hai, Nguyen Van Khue, Pham Hoang Hiep (2007)

Annales Polonici Mathematici

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We establish some results on ω-pluripolarity and complete ω-pluripolarity for sets in a compact Kähler manifold X with fundamental form ω. Moreover, we study subextension of ω-psh functions on a hyperconvex domain in X and prove a comparison principle for the class 𝓔(X,ω) recently introduced and investigated by Guedj-Zeriahi.

On Deformations of Kähler Spaces. I.

Jürgen Bingener (1983)

Mathematische Zeitschrift

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On certain four-dimensional almost Kähler manifolds

Włodzimierz Jelonek (2007)

Colloquium Mathematicae

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We study four-dimensional almost Kähler manifolds (M,g,J) which admit an opposite almost Kähler structure.

Special spinors and contact geometry.

Moroianu, Andrei (1997)

General Mathematics

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Some properties of para-Kähler-Walker metrics

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. ...

On almost Kähler type (2G₃) 4-manifolds

Włodzimierz Jelonek (2007)

Colloquium Mathematicae

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We study four-dimensional almost Kähler manifolds (M,g,J) which satisfy A. Gray's condition (G₃).

Closed transverse $(p, p)$ -forms on compact complex manifolds

Lucia Alessandrini, Marco Andreatta (1987)

Compositio Mathematica

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Hyper Kähler and quaternionic Kähler geometry.

Andrew Swann (1991)

Mathematische Annalen

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On Kähler-Einstein metrics on certain Kahler manifolds with C1 (M) > 0.

G. Tian (1987)

Inventiones mathematicae

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Some simple examples of almost Kähler non-Kähler structures.

Wlodzimierz Jelonek (1996)

Mathematische Annalen

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3-submersions from QR-hypersurfaces of quaternionic Kähler manifolds

Gabriel Eduard Vîlcu (2010)

Annales Polonici Mathematici

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We study 3-submersions from a QR-hypersurface of a quaternionic Kähler manifold onto an almost quaternionic hermitian manifold. We also prove the non-existence of quaternionic submersions between quaternionic Kähler manifolds which are not locally hyper-Kähler.

Deformation of Kähler matrics to Kähler-Eisenstein metrics on compact Kähler manifolds.

Huai-Dong Cao (1985)

Inventiones mathematicae

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Compact holomorphically pseudosymmetric Kähler manifolds

Włodzimierz Jelonek (2009)

Colloquium Mathematicae

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The aim of this paper is to present the first examples of compact, simply connected holomorphically pseudosymmetric Kähler manifolds.

An extension theorem for Kähler currents with analytic singularities

Tristan C. Collins, Valentino Tosatti (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

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We prove an extension theorem for Kähler currents with analytic singularities in a Kähler class on a complex submanifold of a compact Kähler manifold.

Hartogs type extension theorems on some domains in Kähler manifolds

Takeo Ohsawa (2012)

Annales Polonici Mathematici

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Given a locally pseudoconvex bounded domain Ω, in a complex manifold M, the Hartogs type extension theorem is said to hold on Ω if there exists an arbitrarily large compact subset K of Ω such that every holomorphic function on Ω-K is extendible to a holomorphic function on Ω. It will be reported, based on still unpublished papers of the author, that the Hartogs type extension theorem holds in the following two cases: 1) M is Kähler and ∂Ω is C²-smooth and not Levi flat; 2) M is compact...