Weyl structures with positive Ricci tens
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B Alexandrov; S Ivanov
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Article
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2003
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Elsevier Science
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English
β 88 KB
We prove the vanishing of the first Betti number on compact manifolds admitting a Weyl structure whose Ricci tensor satisfies certain positivity conditions, thus obtaining a Bochner-type vanishing theorem in Weyl geometry. We also study compact Hermitian-Weyl manifolds with non-negative symmetric pa