Vanishing theorems of \(L^2\)-cohomology groups on Hessian manifolds

DOI10.2969/JMSJ/77397739zbMATH Open1419.53019arXiv1702.06678OpenAlexW2784802307MaRDI QIDQ2414888

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Publication date: 17 May 2019

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Abstract: We show vanishing theorems of $L^2$-cohomology groups of Kodaira-Nakano type on complete Hessian manifolds. We obtain further vanishing theorems of $L^2$-cohomology groups $L^2{H}^{p,q}(Omega)$ on a regular convex cone $Omega$ with the Cheng-Yau metric for $p>q$.

Full work available at URL: https://arxiv.org/abs/1702.06678

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