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

Title & Authors
ON A COMPACT AND MINIMAL REAL HYPERSURFACE IN A QUATERNIONIC PROJECTIVE SPACE
CHOE, YEONG-WU; JEONG, IMSOON;

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