Einstein Kähler Submanifolds with Codimension 2 in a Complex Space Form.
Kazumi Tsukada (1986)
Mathematische Annalen
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Displaying similar documents to “Complete real Kähler Euclidean hypersurfaces are cylinders”
Einstein Kähler Submanifolds with Codimension 2 in a Complex Space Form.
On the Chern-type problem in Kähler geometry.
Pyo, Yong-Soo, Shin, Kyoung-Hwa (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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An extension of a result of H. Hopf to Kähler submanifolds of
Maria J. Ferreira, Marco Rigoli, Renato Tribuzy (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds and semi-Riemannian submersions
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.
Pseudo-Bochner-flat locally conformal Kähler submanifolds
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.
Kähler submanifolds with lower bounded totally real bisectional curvature tensor.
Jeon, Hyang Seon, Pyo, Yong-Soo (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Complete real Kähler minimal submanifolds.
Marcos Dajczer, Lucio Rodríguez (1991)
Journal für die reine und angewandte Mathematik
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Hypersurfaces of Einstein manifolds
Norihito Koiso (1981)
Annales scientifiques de l'École Normale Supérieure
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Generic warped product submanifolds in nearly Kähler manifolds.
Khan, Viqar Azam, Khan, Khalid Ali (2009)
Beiträge zur Algebra und Geometrie
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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.
Conditions on the conharmonic curvature tensor of Kähler hypersurfaces in complex space forms.
Dorić, M., Petrović-Torgašev, M., Verstraelen, L. (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Kähler manifolds of quasi-constant holomorphic sectional curvatures
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...