Displaying similar documents to “Semi-parallel CR submanifolds in a complex space form”

Warped Product Semi-Slant Submanifolds of a Sasakian Manifold

Al-Solamy, Falleh R., Khan, Viqar Azam (2008)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 53C40, 53C25. In the present note, it is proved that there donot exist warped product semi-slant submanifolds in a Sasakian manifold other than contact CR-warped product submanifolds and thus the results obtained in [8] are generalized.

CR submanifolds of maximal CR dimension in complex manifolds

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.

Warped product submanifolds of Kaehler manifolds with a slant factor

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...