An integral formula for submanifolds and its application
Bang Yen Chen (1972)
Annales Polonici Mathematici
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Bang Yen Chen (1972)
Annales Polonici Mathematici
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Cioroboiu, Dragoş (2002)
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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Franki Dillen, Johan Fastenakels (2009)
Open Mathematics
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We show that a Lagrangian submanifold of a complex space form attaining equality in the inequality obtained by Oprea in [8], must be totally geodesic.
Ki, U-Hang, Kim, Young Ho (1996)
International Journal of Mathematics and Mathematical Sciences
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Suceavă, Bogdan (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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Bashir, M.A. (1991)
International Journal of Mathematics and Mathematical Sciences
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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...
B. Hajduk (1973)
Colloquium Mathematicae
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Simona Costache, Iuliana Zamfir (2014)
Annales Polonici Mathematici
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B. Y. Chen [Arch. Math. (Basel) 74 (2000), 154-160] proved a geometrical inequality for Lagrangian submanifolds in complex space forms in terms of the Ricci curvature and the squared mean curvature. Recently, this Chen-Ricci inequality was improved in [Int. Electron. J. Geom. 2 (2009), 39-45]. On the other hand, K. Arslan et al. [Int. J. Math. Math. Sci. 29 (2002), 719-726] established a Chen-Ricci inequality for submanifolds, in particular in contact slant submanifolds,...
Young-Geun Oh (1991)
Mathematische Zeitschrift
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Shichang, Shu, Sanyang, Liu (2004)
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.
Al-Ghefari, Reem, Al-Solamy, Falleh R., Shahid, Mohammed H. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Bashir, M.A. (1995)
International Journal of Mathematics and Mathematical Sciences
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Trenčevski, K. (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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Barbara Opozda (1989)
Annales Polonici Mathematici
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