The $L^2$-harmonic forms on rotationally symmetric Riemannian manifolds revisited

DOI10.1090/S0002-9939-05-07947-5zbMath1081.53044OpenAlexW1559700357WikidataQ115290135 ScholiaQ115290135MaRDI QIDQ4671885

Nicolae Anghel

Publication date: 27 April 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07947-5

zbMATH Keywords

separation of variablesrotationally symmetric Riemannian manifold\(L^2\)-harmonic formgeneralized Dirac operator\(L^2\)-harmonic spinorgeneralized Dirac bundle

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10)

Related Items

The Dirac spectrum on manifolds with gradient conformal vector fields, On the asymptotics of solutions of elliptic equations at the ends of non-compact Riemannian manifolds with metrics of a special form

Cites Work

• Function theory on manifolds which possess a pole
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• \(L^ 2\)-index formulae for perturbed Dirac operators
• Brownian motion and harmonic functions on rotationally symmetric manifolds
• Riemannian manifolds with large invariants
• L 2 Harmonic Forms on Rotationally Symmetric Riemannian Manifolds
• Eigenfunctions of the Laplacian on rotationally symmetric manifolds
• Characterizations of Simply Connected Rotationally Symmetric Manifolds