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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.3 No.2

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Hyun,, J. (1996). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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
sectional curvature, homology spheres

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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