A nonstandard-analysis characterization of submanifolds in Euclidean space.
Hertrich-Jeromin, Udo (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Hertrich-Jeromin, Udo (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Bang Yen Chen (1972)
Annales Polonici Mathematici
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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...
Suceavă, Bogdan (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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Al-Ghefari, Reem, Al-Solamy, Falleh R., Shahid, Mohammed H. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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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.
Barbara Opozda (1989)
Annales Polonici Mathematici
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Bashir, M.A. (1991)
International Journal of Mathematics and Mathematical Sciences
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Cioroboiu, Dragoş (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Francisco Urbano, Sebastian Montiel (1988)
Mathematische Zeitschrift
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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.
Sebastian Klein, Helmut Reckziegel (2005)
Banach Center Publications
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Dirk Van Lindt, Leopold Verstraelen (1987)
Colloquium Mathematicae
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Dirk Ferus (1980)
Mathematische Annalen
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Toshihiko Ikawa (1984)
Colloquium Mathematicae
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