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Holomorphicity and the Walczak formula on Sasakian manifolds

✍ Scribed by Vasile Brînzănescu; Radu Slobodeanu


Book ID
108137732
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
311 KB
Volume
57
Category
Article
ISSN
0393-0440

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The Einstein–Dirac equation on Sasakian
✍ Florin Alexandru Belgun 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 61 KB

We prove that a Sasakian 3-manifold admitting a non-trivial solution to the Einstein-Dirac equation has necessarily constant scalar curvature. In the case when this scalar curvature is non-zero, their classification follows then from a result by Th. Friedrich and E.C. Kim. We also prove that a scala