A local existence theorem for the Einste
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Eui Chul Kim
📂
Article
📅
2002
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Elsevier Science
🌐
English
⚖ 225 KB
We studied the Einstein-Dirac equation as well as the weak Killing equation on Riemannian spin manifolds with codimension one foliation. We prove that, for any manifold M n admitting real Killing spinors (resp. parallel spinors), there exist warped product metrics η on M n × R such that (M n × R, η)