Differential geometry of indefinite complex submanifolds in indefinite complex space forms.
Alfonso Romero, Young Jin Suh (2004)
Extracta Mathematicae
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Alfonso Romero, Young Jin Suh (2004)
Extracta Mathematicae
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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...
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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Bang Yen Chen (1972)
Annales Polonici Mathematici
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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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Al-Ghefari, Reem, Al-Solamy, Falleh R., Shahid, Mohammed H. (2006)
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.
Sebastian Klein, Helmut Reckziegel (2005)
Banach Center Publications
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Barbara Opozda (1989)
Annales Polonici Mathematici
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Francisco Urbano, Sebastian Montiel (1988)
Mathematische Zeitschrift
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