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Search: MSC category 53C25 ( Special Riemannian manifolds (Einstein, Sasakian, etc.) )

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1. CMB 2009 (vol 53 pp. 206)

Atçeken, Mehmet
 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 productCategories:53C15, 53C25, 53C40

2. CMB 2008 (vol 51 pp. 359)

Cho, Jong Taek; Ki, U-Hang
 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 operatorCategories:53B20, 53C15, 53C25

3. CMB 2000 (vol 43 pp. 440)

Koufogiorgos, Themis; Tsichlias, Charalambos
 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 manifoldsCategories:53C25, 53C15