On totally umbilical submanifolds in nearly Kählerian manifolds
Barbara Opozda (1989)
Annales Polonici Mathematici
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Barbara Opozda (1989)
Annales Polonici Mathematici
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Suceavă, Bogdan (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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Toshihiko Ikawa (1984)
Colloquium Mathematicae
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Cioroboiu, Dragoş (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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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...
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.
Francisco Urbano, Sebastian Montiel (1988)
Mathematische Zeitschrift
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Toshihiko Ikawa (1982)
Colloquium Mathematicae
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Bashir, M.A. (1991)
International Journal of Mathematics and Mathematical Sciences
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Bang Yen Chen (1972)
Annales Polonici Mathematici
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Bashir, M.A. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Duggal, K.L., Sahin, B. (2007)
International Journal of Mathematics and Mathematical Sciences
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Xiaoli Chao, Yaowen Li (2005)
Archivum Mathematicum
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In this paper, we obtain some pinching theorems for totally real minimal submanifolds in complex projective space.
Matsumoto, Koji, Mihai, Adela, Naitza, Dorotea (2003)
Lobachevskii Journal of Mathematics
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