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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.3 No.2

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A GLOBAL STUDY ON SUBMANIFOLDS OF CODIMENSION 2 IN A SPHERE

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 3(2), 173-179.

Abstract

M be an ($n\geq3$)-dimensional compact connected and oriented Riemannian manifold isometrically immersed on an (n ＋ 2)-dimensional sphere $S^{n＋2}$(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

한국수학교육학회지시리즈B:순수및응용수학

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