SECTIONAL CURVATURE OF CONTACT C R-SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE

Title & Authors
SECTIONAL CURVATURE OF CONTACT C R-SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE
Kim, Hyang-Sook; Pak, Jin-Suk;

Abstract
In this paper we study (n + 1)-dimensional compact contact CR-submanifolds of (n - 1) contact CR-dimension immersed in an odd-dimensional unit sphere $\small{S^{2m+1}}$. Especially we provide necessary conditions in order for such a sub manifold to be the generalized Clifford surface $\small{S^{2n_1+1}(((2n_1+1)/(n+1))^{\frac{1}{2}})\;{\times}\;S^{2n_2+1}(((2n_2+1)/(n+1)^{\frac{1}{2}})}$ for some portion (n1, n2) of (n - 1)/2 in terms with sectional curvature.
Keywords
Sasakian manifold;odd-dimensional unit sphere;contact CR-submanifold;contact CR-dimension;minimal real hypersurface;sectional curvature;
Language
English
Cited by
1.
HOMOLOGY OF CONTACT CR-WARPED PRODUCT SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE,;;

대한수학회보, 2015. vol.52. 1, pp.215-222
1.
HOMOLOGY OF CONTACT CR-WARPED PRODUCT SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE, Bulletin of the Korean Mathematical Society, 2015, 52, 1, 215
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