Ammann, Bernd and Dahl, Mattias and Humbert, Emmanuel (2013) SMOOTH YAMABE INVARIANT AND SURGERY. JOURNAL OF DIFFERENTIAL GEOMETRY, 94 (1). pp. 1-58. ISSN 0022-040X, 1945-743X
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We prove a surgery formula for the smooth Yamabe invariant sigma(M) of a compact manifold M. Assume that N is obtained from M by surgery of codimension at least 3. We prove the existence of a positive constant Lambda(n), depending only on the dimension n of M, such that sigma(N) >= min{sigma(M), Lambda(n)}.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SCALAR CURVATURE; GREATER-THAN; 3-MANIFOLDS; MANIFOLDS; CONSTANT; METRICS; CLASSIFICATION; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Apr 2020 11:50 |
| Last Modified: | 09 Apr 2020 11:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/16699 |
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