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VOL. 34 | 2002 Brieskorn Manifolds and Metrics of Positive Scalar Curvature
Hiroshi Ohta

Editor(s) Kenji Fukaya, Seiki Nishikawa, Joel Spruck

Abstract

Using relevant properties of the Seiberg-Witten monopole invariants, a non-existence theorem of metrics of positive scalar curvature on certain series of Brieskorn 3-manifolds is proved. This gives a short proof without the help of Gromov-Lawson's theorem.

Information

Published: 1 January 2002
First available in Project Euclid: 31 December 2018

zbMATH: 1028.57030
MathSciNet: MR1925742

Digital Object Identifier: 10.2969/aspm/03410231

Subjects:
Primary: 57R57
Secondary: 32Q05, 32S25, 57R17

Rights: Copyright © 2002 Mathematical Society of Japan

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