CONTACT THREE CR-SUBMANIFOLDS OF A (4m + 3)-DIMENSIONAL UNIT SPHERE

Title & Authors
CONTACT THREE CR-SUBMANIFOLDS OF A (4m + 3)-DIMENSIONAL UNIT SPHERE
Kim, Hyang-Sook; Kim, Young-Mi; Kwon, Jung-Hwan; Pak, Jin-Suk;

Abstract
We study an (n+3)($\small{n\;{\geq}\;7-dimensional}$ real submanifold of a (4m+3)-unit sphere $\small{S^{4m+3}}$ with Sasakian 3-structure induced from the canonical quaternionic $\small{K\"{a}hler}$ structure of quaternionic (m+1)-number space $\small{Q^{m+1}}$, and especially determine contact three CR-submanifolds with (p-1) contact three CR-dimension under the equality conditions given in (4.1), where p
Keywords
contact three CR-submanifold;contact three CR-dimension;Sasakian 3-structure;
Language
English
Cited by
1.
SCALAR CURVATURE OF CONTACT THREE CR-SUBMANIFOLDS IN A UNIT (4m + 3)-SPHERE,;;

대한수학회보, 2011. vol.48. 3, pp.585-600
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