Integral Inequalities for Maximal Space-like Submanifolds in the Indefinite Space Form
Liu Ximin (2003)
Matematički Vesnik
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Liu Ximin (2003)
Matematički Vesnik
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Andrzej Derdziński (1978)
Colloquium Mathematicae
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Chuu-Lian Terng (1987)
Mathematische Annalen
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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.
Bang Yen Chen (1972)
Annales Polonici Mathematici
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Ki, U-Hang, Kim, Young Ho (1996)
International Journal of Mathematics and Mathematical Sciences
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Hertrich-Jeromin, Udo (2001)
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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Pitiş, Gheorghe (2002)
International Journal of Mathematics and Mathematical Sciences
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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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Y. Choquet-Bruhat (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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...