CERTAIN CONTACT CR-SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE

Title & Authors
CERTAIN CONTACT CR-SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE
Kim, Hyang-Sook; Pak, Jin-Suk;

Abstract
We study an (n+1)($\small{(n{\geq}3)}$-dimensional contact CR-submanifold of (n-1) contact CR-dimension in a (2m+1)-unit sphere $\small{S^{2m+1}}$, and to determine such sub manifolds under conditions concerning the second fundamental form and the induced almost contact structure.
Keywords
odd-dimensional unit sphere;contact CR-submanifold;Sasakian structure;almost contact structure;
Language
English
Cited by
1.
SCALAR CURVATURE OF CONTACT CR-SUBMANIFOLDS IN AN ODD-DIMENSIONAL UNIT SPHERE,;;

대한수학회보, 2010. vol.47. 3, pp.541-549
2.
CERTAIN CLASS OF CONTACT CR-SUBMANIFOLDS OF A SASAKIAN SPACE FORM,;;;

대한수학회논문집, 2014. vol.29. 1, pp.131-140
3.
HOMOLOGY OF CONTACT CR-WARPED PRODUCT SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE,;;

대한수학회보, 2015. vol.52. 1, pp.215-222
1.
CERTAIN CLASS OF CONTACT CR-SUBMANIFOLDS OF A SASAKIAN SPACE FORM, Communications of the Korean Mathematical Society, 2014, 29, 1, 131
2.
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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