Open AccessON A COMPACT AND MINIMAL REAL HYPERSURFACE IN A QUATERNIONIC PROJECTIVE SPACE
Author(s) -
Yeong-Wu Choe,
Imsoon Jeong
Publication year - 2005
Publication title -
bulletin of the korean mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.295
H-Index - 27
eISSN - 2234-3016
pISSN - 1015-8634
DOI - 10.4134/bkms.2005.42.2.327
Subject(s) - hypersurface , hypersphere , mathematics , totally geodesic , real projective space , pure mathematics , geodesic , complex projective space , quaternionic projective space , projective test , projective space , mathematical analysis , geometry
For a compact and orientable minimal real hypersur- face M in QP n , we prove that if the minimum of the sectional curvatures of M is 3=(4n i 1), then M is isometric to the geodesic minimal hypersphere M Q 0;ni1 .
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