On totally umbilical submanifolds in nearly Kählerian manifolds
Barbara Opozda (1989)
Annales Polonici Mathematici
Similarity:
Barbara Opozda (1989)
Annales Polonici Mathematici
Similarity:
Bayram Sahin (2009)
Annales Polonici Mathematici
Similarity:
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...
Rakesh Kumar (2013)
Matematički Vesnik
Similarity:
Ram Shankar Gupta, S. M. Khursheed Haider, A. Sharfuddin (2006)
Colloquium Mathematicae
Similarity:
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.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan (2012)
Publications de l'Institut Mathématique
Similarity:
Khan, Khalid Ali, Khan, Viqair Azam, Siraj-Uddin (2008)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Sibel Sular, Cihan Özgür (2011)
Annales Polonici Mathematici
Similarity:
We establish sharp inequalities for C-totally real doubly warped product submanifolds in (κ,μ)-contact space forms and in non-Sasakian (κ,μ)-contact metric manifolds.
Uddin, Siraj, Khan, V.A., Khan, Huzoor H. (2010)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Minoru Kobayashi (1991)
Revista Matemática de la Universidad Complutense de Madrid
Similarity:
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.
Pandey, Pradeep Kumar, Gupta, Ram Shankar (2008)
Novi Sad Journal of Mathematics
Similarity:
Al-Ghefari, Reem, Al-Solamy, Falleh R., Shahid, Mohammed H. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Olteanu, Andreea (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Similarity:
Atçeken, Mehmet (2007)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Matsumoto, Koji, Bonanzinga, Vittoria (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Similarity:
Al-Solamy, Falleh R., Khan, Viqar Azam (2008)
Serdica Mathematical Journal
Similarity:
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.