$L^2 $ harmonic forms and a conjecture of Dodziuk-Singer

DOI10.1090/S0273-0979-1985-15405-9zbMath0573.53025WikidataQ122884160 ScholiaQ122884160MaRDI QIDQ3692413

Michael T. Anderson

Publication date: 1985

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

zbMATH Keywords

negative curvatureharmonic p-forms

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35) Differential complexes (58J10)

Related Items (8)

Nonzero elements in the \(L_ p\)-cohomologies of warped products ⋮ On a construction of complete simply-connected riemannian manifolds with negative curvature ⋮ On the infinite dimensionality of the middle \(L^ 2\) cohomology of complex domains ⋮ \(L^2\)-harmonic 1-forms on submanifolds with finite total curvature ⋮ \(L^2\) forms and Ricci flow with bounded curvature on complete non-compact manifolds ⋮ Hodge theory on hyperbolic manifolds ⋮ Rational manifold models for duality groups ⋮ Vanishing theorems for L2 -cohomology groups

Cites Work

• On the Differential Form Spectrum of Negatively Curved Riemannian Manifolds
• L 2 Harmonic Forms on Rotationally Symmetric Riemannian Manifolds
• Seminar on Differential Geometry. (AM-102)
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