Copy For Citation
Yildiz A., Murathan C., Arstan K., Ezentas R.
Monatshefte fur Mathematik, vol.151, no.3, pp.247-256, 2007 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
151
Issue:
3
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Publication Date:
2007
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Doi Number:
10.1007/s00605-007-0474-4
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Journal Name:
Monatshefte fur Mathematik
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Page Numbers:
pp.247-256
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Keywords:
pseudosymmetry type manifolds, semisymmetric manifolds, hypersurfaces, contact manifolds, Sasakian manifolds, ANTI-INVARIANT SUBMANIFOLDS, INTEGRAL SUBMANIFOLDS, CONTACT DISTRIBUTION
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Bursa Uludag University Affiliated:
Yes
Abstract
Let M̃2n+1(c) be (2n + 1)-dimensional Sasakian space form of constant ℓ-sectional curvature (c) and M n be an n -dimensional C-totally real, minimal submanifold of M̃2n+1(c). We prove that if M n is pseudo-parallel and Ln-1/4(n(c + 3) + c - 1)≥ 0, then M n is totally geodesic. © Springer-Verlag 2007.