Integral inequalities for maximal space-like submanifolds in the indefinite space form.
Liu, Ximin (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Liu, Ximin (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Andrzej Derdziński (1978)
Colloquium Mathematicae
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Bang Yen Chen (1972)
Annales Polonici Mathematici
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Dirk Van Lindt, Leopold Verstraelen (1987)
Colloquium Mathematicae
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Hertrich-Jeromin, Udo (2001)
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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B. Hajduk (1973)
Colloquium Mathematicae
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Suceavă, Bogdan (1997)
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...
Mirjana Djorić, Masafumi Okumura (2002)
Banach Center Publications
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The aim of this paper is to investigate n-dimensional real submanifolds of complex manifolds in the case when the maximal holomorphic tangent space is (n-1)-dimensional. In particular, we give some examples and we consider the Levi form on these submanifolds, especially when the ambient space is a complex space form. Moreover, we show that on some remarkable class of real hypersurfaces of complex space forms, the Levi form cannot vanish identically.
Teodor Oprea (2007)
Colloquium Mathematicae
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In the theory of submanifolds, the following problem is fundamental: establish simple relationships between the main intrinsic invariants and the main extrinsic invariants of submanifolds. The basic relationships discovered until now are inequalities. To analyze such problems, we follow the idea of C. Udrişte that the method of constrained extremum is a natural way to prove geometric inequalities. We improve Chen's inequality which characterizes a totally real submanifold of a complex...
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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Sebastian Klein, Helmut Reckziegel (2005)
Banach Center Publications
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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.
Cioroboiu, Dragoş (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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