Twistor spinors and gravitational instantons |
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| Authors: | Wolfgang Kühnel Hans-Bert Rademacher |
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| Institution: | (1) Mathematisches Institut B, Universität Stuttgart, 70550 Stuttgart, Germany;(2) Mathematisches Institut, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany |
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| Abstract: | We construct a complete Riemannian metric on the four-dimensional vector space  4 which carries a two-dimensional space of twistor spinor with common zero point. This metric is half-conformally flat but not conformally flat. The construction uses a conformal completion at infinity of theEguchi-Hanson metric on the exterior of a closed ball in 4. |
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| Keywords: | 35C25 83C60 |
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