The Gibbons-Hawking ansatz over a wedge
Autor: | Martin de Borbon |
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Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
Mathematics - Differential Geometry
010102 general mathematics Mathematical analysis General Physics and Astronomy 01 natural sciences Wedge (geometry) Hawking Differential Geometry (math.DG) Conic section 0103 physical sciences FOS: Mathematics Gravitational singularity 010307 mathematical physics Geometry and Topology 0101 mathematics Mathematical Physics Ansatz Mathematics Mathematical physics |
Popis: | We discuss the Ricci-flat `model metrics' on $\mathbb{C}^2$ with cone singularities along the conic $\{zw=1\}$ constructed by Donaldson using the Gibbons-Hawking ansatz over wedges in $\mathbb{R}^3$. In particular we describe their asymptotic behavior at infinity and compute their energies. 15 pages, 1 figure |
Databáze: | OpenAIRE |
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