Bounded and \(L^2\) harmonic forms on universal covers
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Publication:1386751
DOI10.1007/s000390050057zbMath0898.53028arXivdg-ga/9704015OpenAlexW2015930348MaRDI QIDQ1386751
Steven Rosenberg, Xue-Mei Li, K. David Elworthy
Publication date: 2 November 1998
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/dg-ga/9704015
Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65) Global Riemannian geometry, including pinching (53C20)
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\(L^{2}\)-Betti numbers of infinite configuration spaces ⋮ A Feynman-Kac formula for differential forms on manifolds with boundary and geometric applications ⋮ Laplace operators in deRham complexes associated with measures on configuration spaces ⋮ Heat equation in vector bundles with time-dependent metric ⋮ Conservative principle for differential forms ⋮ An \(L^{2}\) theory for differential forms on path spaces. I ⋮ On the \(L^p\) independence of the spectrum of the Hodge Laplacian on non-compact manifolds ⋮ De Rham cohomology of configuration spaces with Poisson measure
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