CERTAIN CLASS OF QR-SUBMANIFOLDS OF MAXIMAL QR-DIMENSION IN QUATERNIONIC SPACE FORM

• Journal title : Honam Mathematical Journal
• Volume 35, Issue 2,  2013, pp.147-161
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2013.35.2.147
Title & Authors
CERTAIN CLASS OF QR-SUBMANIFOLDS OF MAXIMAL QR-DIMENSION IN QUATERNIONIC SPACE FORM
Kim, Hyang Sook; Pak, Jin Suk;

Abstract
In this paper we determine certain class of $\small{n}$-dimensional QR-submanifolds of maximal QR-dimension isometrically immersed in a quaternionic space form, that is, a quaternionic K$\small{\ddot{a}}$hler manifold of constant Q-sectional curvature under the conditions (3.1) concerning with the second fundamental form and the induced almost contact 3-structure.
Keywords
quaternionic space form;quaternionic K$\small{\ddot{a}}$hler manifold;constant Q-sectional curvature;QR-submanifold of maximal QR-dimension;almost contact 3-structure;
Language
English
Cited by
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