Harmonic fields in Riemannian manifolds (Generalized potential theory)
From MaRDI portal
Publication:2648085
DOI10.2307/1969552zbMath0034.20502OpenAlexW4237462020WikidataQ94965353 ScholiaQ94965353MaRDI QIDQ2648085
Publication date: 1949
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1969552
Related Items
Unnamed Item ⋮ Remarks on the weak formulation of the Navier-Stokes equations on the 2D hyperbolic space ⋮ Periodic and almost periodic evolution flows and their stability on non-compact Einstein manifolds and applications ⋮ Hilbert Space Methods in the Theory of Harmonic Integrals ⋮ Hodge spectral sequence on pseudoconvex domains ⋮ General perversities and \(L^2\) de Rham and Hodge theorems for stratified pseudomanifolds ⋮ A new proof of Gaffney's inequality for differential forms on manifolds-with-boundary: the variational approach à la Kozono-Yanagisawa ⋮ Besov and Triebel-Lizorkin regularity for the Hodge decomposition and applications to magnetic potentials ⋮ Explicit Hodge decomposition on Riemann surfaces ⋮ Normal and compact solvability of the exterior differentiation operator under homogeneous boundary conditions ⋮ Qualitative analysis of very weak solutions to Dirac-harmonic equations ⋮ Über Kählersche und symplektische Differentialalgebren ⋮ A complex tensor calculus for Kähler manifolds ⋮ Relative index theorems and supersymmetric scattering theory ⋮ Nonexistence of certain Levi flat hypersurfaces in Kähler manifolds from the viewpoint of positive normal bundles ⋮ P-adic weak central Morrey spaces on differential forms ⋮ Periodic solutions to Navier-Stokes equations on non-compact Einstein manifolds with negative curvature ⋮ Integration of complex vector fields ⋮ Hodge-Kodaira decomposition of evolving neural networks ⋮ On the \(L^{r}\) Hodge theory in complete non compact Riemannian manifolds ⋮ Formule variationelle d'Hadamard et modèle des variétés différentiables plongees ⋮ Witten-Hodge theory for manifolds with boundary and equivariant cohomology ⋮ \(W^{1,2}\) Bott-Chern and Dolbeault decompositions on Kähler manifolds ⋮ Expansion of the fundamental solution of a second‐order elliptic operator with analytic coefficients ⋮ Ricci curvature and the size of initial data for the Navier-Stokes equations on Einstein manifolds ⋮ A reduction theorem for cohomology groups of very strongly q-convex Kähler manifolds ⋮ On the extension of L2 holomorphic functions VIII — a remark on a theorem of Guan and Zhou ⋮ Lefschetz fixed point formula for manifolds with cylindrical ends ⋮ Hodge decomposition and the Shapley value of a cooperative game ⋮ Von Neumann spectra near zero ⋮ Hilbert complexes ⋮ The incompressible Navier-Stokes equations on non-compact manifolds ⋮ The higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms ⋮ Clebsch parameterization: Basic properties and remarks on its applications ⋮ Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on nonsmooth, three-dimensional Riemannian manifolds ⋮ Hodge cohomology of gravitational instantons ⋮ A Survey on Levi Flat Hypersurfaces ⋮ Harmonic forms and cohomology of singular stratified spaces ⋮ Boundary value problems and layer potentials on manifolds with cylindrical ends ⋮ Fredholm, Hodge and Liouville Theorems on Noncompact Manifolds ⋮ Some remarks on vector analysis ⋮ Relativistic transport theory ⋮ Harmonic fields with given boundary behavior in Riemannian spaces ⋮ Dirichlet Problems on Riemann Surfaces and Conformal Mappings ⋮ A non-linear Hodge-de Rham theorem ⋮ Variations of pseudoconvex domains in the complex manifold ⋮ Unnamed Item ⋮ Sull'esistenza delle forme differenziali armoniche ⋮ The LIR method. \(L^{r}\) solutions of elliptic equation in a complete Riemannian manifold ⋮ R-torsion and the Laplacian on Riemannian manifolds ⋮ Über meromorphe Schnitte komplex-analytischer Vektorraumbündel und Anwendungen auf Riemannsche Klassen. I, II ⋮ Nonlinear Hodge theory on manifolds with boundary ⋮ On the interior regularity of weak solutions of non-stationary Navier- Stokes equations on a Riemannian manifold ⋮ Harmonic Integrals on Almost Product Manifolds ⋮ On the strong \(L^p\)-Hodge decomposition over complete Riemannian manifolds ⋮ Ein Hodge-Satz für Mannigfaltigkeiten mit nicht-glattem Rand ⋮ L//2 cohomology of warped products and arithmetic groups ⋮ The Biot-Savart operator and electrodynamics on subdomains of the three-sphere ⋮ Beweise einiger Ergebnisse aus der Theorie der 2. Variation mehrfacher Extremalintegrale ⋮ Higher degree layer potentials for non-smooth domains with arbitrary topology. ⋮ Lösungen der poissongleichung und harmonische vektorfelder in unbeschränkten gebieten ⋮ The theorem of Kronheimer-Mrowka ⋮ Integral estimates for null Lagrangians ⋮ An index formula for the de Rham complex ⋮ Finite energy solutions of Maxwell's equations and constructive Hodge decompositions on nonsmooth Riemannian manifolds ⋮ Explicit Hodge-type decomposition on projective complete intersections ⋮ Harmonic Functions on Open Riemann Surfaces