[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2005.42.2.327

ON A COMPACT AND MINIMAL REAL HYPERSURFACE IN A QUATERNIONIC PROJECTIVE SPACE

CHOE, YEONG-WU (DEPARTMENT OF MATHEMATICS, COLLEGE OF SCIENCES, CATHOLIC UNIVERSITY OF DAEGU)
JEONG, IMSOON (DEPARTMENT OF MATHEMATICS, COLLEGE OF SCIENCES, CATHOLIC UNIVERSITY OF DAEGU)

Publication Information

Bulletin of the Korean Mathematical Society / v.42, no.2, 2005 , pp. 327-335 More about this Journal

Abstract

For a compact and orientable minimal real hypersurface $M\;in\;QP^n$ , we prove that if the minimum of the sectional curvatures of Mis 3/(4n - 1), then M is isometric to the geodesic minimal hypersphere $M_{0,n-1}^Q$ .

Keywords

minimal real hypersurface; quaternionic projective space; quaternionic space form;

Citations & Related Records

Reference

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