Quaternionic-Kähler manifolds and conforrmal geometry.
Claude LeBrun (1989)
Mathematische Annalen
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Claude LeBrun (1989)
Mathematische Annalen
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Koji Matsuo (2007)
Colloquium Mathematicae
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Let M̃ be an (m+r)-dimensional locally conformal Kähler (l.c.K.) manifold and let M be an m-dimensional l.c.K. submanifold of M̃ (i.e., a complex submanifold with the induced l.c.K. structure). Assume that both M̃ and M are pseudo-Bochner-flat. We prove that if r < m, then M is totally geodesic (in the Hermitian sense) in M̃. This is the l.c.K. version of Iwatani's result for Bochner-flat Kähler submanifolds.
Moroianu, Andrei (1997)
General Mathematics
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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.
J. Brüning, M. Lesch (1993)
Geometric and functional analysis
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Ken-ichi Sugiyama (1988)
Mathematische Annalen
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Andrew Swann (1991)
Mathematische Annalen
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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. ...
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.
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.
Wei-Yue Ding (1988)
Mathematische Annalen
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Jürgen Bingener (1983)
Mathematische Zeitschrift
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Falcitelli, Maria, Pastore, Anna Maria (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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McKenzie Y. Wang (1992)
Mathematische Zeitschrift
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T. Napier, M. Ramachandran (1995)
Geometric and functional analysis
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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.