On almost Kähler type (2G₃) 4-manifolds
Włodzimierz Jelonek (2007)
Colloquium Mathematicae
Similarity:
We study four-dimensional almost Kähler manifolds (M,g,J) which satisfy A. Gray's condition (G₃).
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Włodzimierz Jelonek (2007)
Colloquium Mathematicae
Similarity:
We study four-dimensional almost Kähler manifolds (M,g,J) which satisfy A. Gray's condition (G₃).
Wlodzimierz Jelonek (1996)
Mathematische Annalen
Similarity:
Włodzimierz Jelonek (2012)
Colloquium Mathematicae
Similarity:
The aim of this paper is to present examples of holomorphically pseudosymmetric Kähler metrics on the complex projective spaces ℂℙⁿ, where n ≥ 2.
Koji Matsuo, Takao Takahashi (2001)
Colloquium Mathematicae
Similarity:
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.
Le Mau Hai, Nguyen Van Khue, Pham Hoang Hiep (2007)
Annales Polonici Mathematici
Similarity:
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.
R. Goto (1994)
Geometric and functional analysis
Similarity:
Huai-Dong Cao (1985)
Inventiones mathematicae
Similarity:
Gabriel Eduard Vîlcu (2010)
Annales Polonici Mathematici
Similarity:
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.
Koji Matsuo (2009)
Colloquium Mathematicae
Similarity:
We show that there exist astheno-Kähler structures on Calabi-Eckmann manifolds.
Tristan C. Collins, Valentino Tosatti (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
Similarity:
We prove an extension theorem for Kähler currents with analytic singularities in a Kähler class on a complex submanifold of a compact Kähler manifold.
Zbigniew Olszak (2003)
Colloquium Mathematicae
Similarity:
It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.
Michela Zedda (2017)
Complex Manifolds
Similarity:
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...
Kouei Sekigawa, Takashi Oguro (1994)
Mathematische Annalen
Similarity:
Mustafa Özkan, Murat İşcan (2014)
Annales Polonici Mathematici
Similarity:
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. ...
Jürgen Bingener (1983)
Mathematische Zeitschrift
Similarity:
Simone Calamai, David Petrecca (2017)
Complex Manifolds
Similarity:
In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature assumptions.
G. Tian (1987)
Inventiones mathematicae
Similarity:
Holubowicz, Ryszard, Mozgawa, Witold
Similarity: