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Results 1 - 3 of 3 |
1. CMB 2009 (vol 53 pp. 206)
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Semi-Slant Submanifolds of an Almost Paracontact Metric Manifold In this paper, we define and study the geometry of semi-slant submanifolds of an almost paracontact metric manifold. We give some characterizations for a submanifold to be semi-slant submanifold to be semi-slant product and obtain integrability conditions for the distributions involved in the definition of a semi-slant submanifold.
Keywords:paracontact metric manifold, slant distribution, semi-slant submanifold, semi-slant product Categories:53C15, 53C25, 53C40 |
2. CMB 2008 (vol 51 pp. 359)
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Real Hypersurfaces in Complex Space Forms with Reeb Flow Symmetric Structure Jacobi Operator Real hypersurfaces in a complex space form whose structure
Jacobi operator is symmetric along the Reeb flow are studied. Among
them, homogeneous real hypersurfaces of type $(A)$ in a complex
projective or hyperbolic space are characterized as those whose structure
Jacobi operator commutes with the shape operator.
Keywords:complex space form, real hypersurface, structure Jacobi operator Categories:53B20, 53C15, 53C25 |
3. CMB 2000 (vol 43 pp. 440)
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On the Existence of a New Class of Contact Metric Manifolds A new class of 3-dimensional contact metric manifolds is found.
Moreover it is proved that there are no such manifolds in
dimensions greater than 3.
Keywords:contact metric manifolds, generalized $(\kappa,\mu)$-contact metric manifolds Categories:53C25, 53C15 |