\(L^2\) cohomology and parabolicity

DOI10.1007/BF02930978zbMath1090.53041arXivmath/0407163MaRDI QIDQ2574446

Gilles Carron

Publication date: 21 November 2005

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407163

zbMATH Keywords

cohomology groupsde Rham cohomologysymmetric spaceexact sequencesharmonic forms

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Mass in Kähler geometry, The Hölder-Poincaré duality for \(L _{q,p }\)-cohomology, On gradient estimates for heat kernels, Intersection homology with general perversities, Extended Hodge theory for fibred cusp manifolds, Pseudodifferential operator calculus for generalized \(\mathbb Q\)-rank 1 locally symmetric spaces. I., Hölder regularity of solutions for Schrödinger operators on stratified spaces

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