A GLOBAL STUDY ON SUBMANIFOLDS OF CODIMENSION 2 IN A SPHERE
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1996, v.3 no.2, pp.173-179
Hyun, Jong-Ik
(Cheju National University of Education)
Hyun, Jong-Ik.
(1996). A GLOBAL STUDY ON SUBMANIFOLDS OF CODIMENSION 2 IN A SPHERE. 한국수학교육학회지시리즈B:순수및응용수학, 3(2), 173-179.
Abstract
M be an (<TEX>$n\geq3$</TEX>)-dimensional compact connected and oriented Riemannian manifold isometrically immersed on an (n + 2)-dimensional sphere <TEX>$S^{n+2}$</TEX>(c). If all sectional curvatures of M are not less than a positive constant c, show that M is a real homology sphere.
- keywords
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sectional curvature,
homology spheres