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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Pyo, Yong-Soo, Shin, Kyoung-Hwa (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Maria J. Ferreira, Marco Rigoli, Renato Tribuzy (1995)
Rendiconti del Seminario Matematico della Università di Padova
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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.
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.
Jeon, Hyang Seon, Pyo, Yong-Soo (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Marcos Dajczer, Lucio Rodríguez (1991)
Journal für die reine und angewandte Mathematik
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Norihito Koiso (1981)
Annales scientifiques de l'École Normale Supérieure
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Khan, Viqar Azam, Khan, Khalid Ali (2009)
Beiträge zur Algebra und Geometrie
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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.
Dorić, M., Petrović-Torgašev, M., Verstraelen, L. (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Georgi Ganchev, Vesselka Mihova (2008)
Open Mathematics
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The Kähler manifolds of quasi-constant holomorphic sectional curvatures are introduced as Kähler manifolds with complex distribution of codimension two, whose holomorphic sectional curvature only depends on the corresponding point and the geometric angle, associated with the section. A curvature identity characterizing such manifolds is found. The biconformal group of transformations whose elements transform Kähler metrics into Kähler ones is introduced and biconformal tensor invariants...