Generic warped product submanifolds in nearly Kähler manifolds.
Khan, Viqar Azam, Khan, Khalid Ali (2009)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “CR-warped product submanifolds of nearly Kaehler manifolds.”
Generic warped product submanifolds in nearly Kähler manifolds.
Lagrangian submanifolds of quaternion Kaehlerian manifolds satisfying Chen's equality.
Hong, Yi, Houh, Chorng Shi (1998)
Beiträge zur Algebra und Geometrie
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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.
On totally umbilical submanifolds in nearly Kählerian manifolds
Barbara Opozda (1989)
Annales Polonici Mathematici
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Warped product submanifolds of Kaehler manifolds with a slant factor
Bayram Sahin (2009)
Annales Polonici Mathematici
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Recently, we showed that there exist no warped product semi-slant submanifolds in Kaehler manifolds. On the other hand, Carriazo introduced anti-slant submanifolds as a particular class of bi-slant submanifolds. In this paper, we study such submanifolds in detail and show that they are useful to define a new kind of warped product submanifolds of Kaehler manifolds. In this direction, we obtain the existence of warped product hemi-slant (anti-slant) submanifolds with examples. We give...
Differential Geometry of Real Submanifolds in a Kähler Manifold.
Bang-yen Chen (1981)
Monatshefte für Mathematik
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Notes on doubly warped and doubly twisted product cr-submabifolds of Kaehler manifolds.
Şahin, Bayram (2007)
Matematichki Vesnik
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Warped Product Semi-Slant Submanifolds of a Sasakian Manifold
Al-Solamy, Falleh R., Khan, Viqar Azam (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 53C40, 53C25. In the present note, it is proved that there donot exist warped product semi-slant submanifolds in a Sasakian manifold other than contact CR-warped product submanifolds and thus the results obtained in [8] are generalized.
Ideal CR submanifolds in non-flat complex space forms
Toru Sasahara (2014)
Czechoslovak Mathematical Journal
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An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds. In addition, we investigate the almost contact metric structure of ideal CR submanifolds in a complex hyperbolic space. Moreover, we obtain a codimension reduction theorem for ideal CR submanifolds in a complex projective space.
Minimal submanifolds in with a g.c.K. structure
Marian-Ioan Munteanu (2008)
Czechoslovak Mathematical Journal
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In this paper we obtain all invariant, anti-invariant and submanifolds in endowed with a globally conformal Kähler structure which are minimal and tangent or normal to the Lee vector field of the g.c.K. structure.
CR-submanifolds of Kählerian product manifolds.
Atçeken, Mehmet (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Slant submanifolds in cosymplectic manifolds
Ram Shankar Gupta, S. M. Khursheed Haider, A. Sharfuddin (2006)
Colloquium Mathematicae
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We give some examples of slant submanifolds of cosymplectic manifolds. Also, we study some special slant submanifolds, called austere submanifolds, and establish a relation between minimal and anti-invariant submanifolds which is based on properties of the second fundamental form. Moreover, we give an example to illustrate our result.