L^2 harmonics forms on non compact manifolds
From MaRDI portal
Publication:4472618
zbMath1049.58006arXiv0704.3194MaRDI QIDQ4472618
Publication date: 1 July 2004
Full work available at URL: https://arxiv.org/abs/0704.3194
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Index theory and related fixed-point theorems on manifolds (58J20) Hodge theory in global analysis (58A14) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items
Vanishing theorems on complete manifolds with weighted Poincaré inequality and applications, Sobolev spaces and \(\nabla\)-differential operators on manifolds. I: Basic properties and weighted spaces, On stable constant mean curvature hypersurfaces, Vanishing theorems for \(p\)-harmonic forms on Riemannian manifolds, \(L^{2}\) harmonic 2-forms on minimal hypersurfaces in spheres, Poincaré duality, Hilbert complexes and geometric applications, \(L^2\)-cohomology and complete Hamiltonian manifolds, Hardy spaces of differential forms on Riemannian manifolds, Vanishing theorems for Riemannian manifolds with nonnegative scalar curvature and weighted \(p\)-Poincaré inequality, Riesz transform on manifolds and heat kernel regularity, Sobolev Inequalities in Familiar and Unfamiliar Settings, Hardy spaces on Riemannian manifolds with quadratic curvature decay, \(L^2\) cohomology and parabolicity, Gap theorems on hypersurfaces in spheres