Characterization of a slant submanifold of a Kenmotsu manifold.
Pandey, Pradeep Kumar, Gupta, Ram Shankar (2008)
Novi Sad Journal of Mathematics
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Pandey, Pradeep Kumar, Gupta, Ram Shankar (2008)
Novi Sad Journal of Mathematics
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Şahin, Bayram (2007)
Matematichki Vesnik
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Barbara Opozda (1989)
Annales Polonici Mathematici
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Uddin, Siraj, Khan, V.A., Khan, Huzoor H. (2010)
International Journal of Mathematics and Mathematical Sciences
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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.
Khan, Khalid Ali, Khan, Viqair Azam, Siraj-Uddin (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Siraj Uddin, Cenap Ozel, Viqar Azam Khan (2012)
Publications de l'Institut Mathématique
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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.
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...
Minoru Kobayashi (1991)
Revista Matemática de la Universidad Complutense de Madrid
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We study contact normal submanifolds and contact generic normal in Kenmotsu manifolds and in Kenmotsu space forms. Submanifolds mentioned above with certain conditions in forms space Kenmotsu are shown that they CR-manifolds, spaces of constant curvature, locally symmetric and Einsteinnian. Also, the non-existence of totally umbilical submanifolds in a Kenmotsu space form -1 is proven under a certain condition.
V. A. Khan, M. A. Khan, K. A. Khan (2007)
Mathematica Slovaca
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Atçeken, Mehmet (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Avik De (2013)
Matematički Vesnik
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Uddin, Siraj (2010)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 53C15, 53C40, 53C42. Many research articles have recently appeared exploring existence or non existence of warped product submanifolds in known spaces (cf. [2, 5, 8]). The objective of the present paper is to study the existence or non-existence of contact CR-warped products in the setting of LP-Sasakian manifolds. This work is supported by the research grant RG117/10AFR (University of Malaya).