Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Euler characters and submanifolds of constant positive curvature


Author: John Douglas Moore
Journal: Trans. Amer. Math. Soc. 354 (2002), 3815-3834
MSC (2000): Primary 53C40; Secondary 57R20
Published electronically: May 7, 2002
MathSciNet review: 1911523
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This article develops methods for studying the topology of submanifolds of constant positive curvature in Euclidean space. It proves that if $M^n$ is an $n$-dimensional compact connected Riemannian submanifold of constant positive curvature in ${\mathbb E}^{2n-1}$, then $M^n$ must be simply connected. It also gives a conformal version of this theorem.


References [Enhancements On Off] (What's this?)


Similar Articles

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

Retrieve articles in all journals with MSC (2000): 53C40, 57R20


Additional Information

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

DOI: http://dx.doi.org/10.1090/S0002-9947-02-03043-X
PII: S 0002-9947(02)03043-X
Received by editor(s): March 28, 2001
Published electronically: May 7, 2002
Article copyright: © Copyright 2002 American Mathematical Society