Connected Sum of CR Manifolds with Positive CR Yamabe Constant
| Autor: | Hung-Lin Chiu, Pak Tung Ho, Jih-Hsin Cheng |
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| Rok vydání: | 2019 |
| Předmět: |
Mathematics - Differential Geometry
010102 general mathematics Structure (category theory) Boundary (topology) 01 natural sciences Connected sum Combinatorics 32V99 32V20 Differential Geometry (math.DG) 0103 physical sciences FOS: Mathematics 010307 mathematical physics Geometry and Topology 0101 mathematics Constant (mathematics) Mathematics |
| Zdroj: | The Journal of Geometric Analysis. 31:298-311 |
| ISSN: | 1559-002X 1050-6926 |
| DOI: | 10.1007/s12220-019-00261-9 |
| Popis: | Suppose $$M_{1}$$ and $$M_{2}$$ are 3-dimensional closed (compact without boundary) CR manifolds with positive CR Yamabe constant. In this note, we show that the connected sum of $$M_{1}$$ and $$M_{2}$$ also admits a CR structure with positive CR Yamabe constant. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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