Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898284 | Differential Geometry and its Applications | 2018 | 10 Pages |
Abstract
Denoting the Yamabe invariant of a manifold X by Y(X), we show that if Y(M)â¤0â¤Y(HPkÃËF) and |Y(HPkÃËF)|+|Y(M)|â 0, thenY(M)=Y(Mâ¯F(HPkÃËF)), where â¯F denotes a generalized connected sum along F. Likewise for the Cayley plane CaP2 when k=4. These results are used to produce examples of higher-dimensional manifolds with nonpositive Yamabe invariants.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chanyoung Sung,