Positive scalar curvature and $10/8$-type inequalities on $4$-manifolds with periodic ends
| Autor: | Masaki Taniguchi, Hokuto Konno |
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| Rok vydání: | 2018 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics General Mathematics 010102 general mathematics Geometric Topology (math.GT) Type (model theory) 01 natural sciences Mathematics - Geometric Topology Differential Geometry (math.DG) 0103 physical sciences FOS: Mathematics 010307 mathematical physics Mathematics::Differential Geometry 0101 mathematics Mathematics Scalar curvature |
| DOI: | 10.48550/arxiv.1809.00528 |
| Popis: | We show $ 10/8$-type inequalities for some end-periodic $4$-manifolds which have positive scalar curvature metrics on the ends. As an application, we construct a new family of closed $4$-manifolds which do not admit positive scalar curvature metrics. Comment: 36 pages, 1 figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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