Einstein Kähler Submanifolds with Codimension 2 in a Complex Space Form.
Kazumi Tsukada (1986)
Mathematische Annalen
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Kazumi Tsukada (1986)
Mathematische Annalen
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Sidney M. Webster (1977)
Mathematische Zeitschrift
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Khan, Viqar Azam, Khan, Khalid Ali (2009)
Beiträge zur Algebra und Geometrie
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Hiroshi Sawai (2017)
Complex Manifolds
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The purpose of this paper is to prove that there exists a lattice on a certain solvable Lie group and construct a six-dimensional locally conformal Kähler solvmanifold with non-parallel Lee form.
Stere Ianuş, Stefano Marchiafava, Gabriel Vîlcu (2010)
Open Mathematics
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In this paper we introduce paraquaternionic CR-submanifolds of almost paraquaternionic hermitian manifolds and state some basic results on their differential geometry. We also study a class of semi-Riemannian submersions from paraquaternionic CR-submanifolds of paraquaternionic 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.
Moroianu, Andrei (1997)
General Mathematics
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Ṣahin, Bayram, Güneṣ, Rıfat (2008)
Beiträge zur Algebra und Geometrie
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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.
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.
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.
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. ...
Marcos Dajczer, Lucio Rodríguez (1991)
Journal für die reine und angewandte Mathematik
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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.
Huai-Dong Cao (1985)
Inventiones mathematicae
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Andrew Swann (1991)
Mathematische Annalen
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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...
Koji Matsuo (2009)
Colloquium Mathematicae
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We show that there exist astheno-Kähler structures on Calabi-Eckmann manifolds.