Transactions of the American Mathematical Society

Author(s): John Douglas Moore
Journal: Trans. Amer. Math. Soc. 354 (2002), 3815-3834.
MSC (2000): Primary 53C40; Secondary 57R20
Posted: May 7, 2002
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Abstract: This article develops methods for studying the topology of submanifolds of constant positive curvature in Euclidean space. It proves that if

is an

-dimensional compact connected Riemannian submanifold of constant positive curvature in ${\mathbb E}^{2n-1}$ , then

must be simply connected. It also gives a conformal version of this theorem.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 53C40, 57R20

John Douglas Moore
Affiliation: Department of Mathematics, University of California, Santa Barbara, CA 93106
Email: moore@math.ucsb.edu

DOI: 10.1090/S0002-9947-02-03043-X
PII: S 0002-9947(02)03043-X
Received by editor(s): March 28, 2001
Posted: May 7, 2002
Copyright of article: Copyright 2002, American Mathematical Society

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