On the L^2 form spectrum of the Laplacian on nonnegatively curvedmanifolds

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概要

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• Let $(M,g o)$ be a complete, noncompact Riemannian manifold with a pole, and let $g=fg o$ be a conformally related metric. We obtain conditions on the curvature of $g o$ and on $f$ under which the Laplacian on $p$-forms on $(M,g)$ has no eigenvalues.

• 東北大学の論文

著者

• RIGOLI Marco

  Dipartimento di Matematica Universita di Milano

• Rigoli Marco

  Dipartimento Di Matematicae Applicazioni Universita Di Milano-bicocca

• Setti Alberto

  Dipartimento di ScienzeChimiche, Fisiche e Matematiche, Universitadell'Insubria-Como

• Setti Alberto

  Dipartimento Di Scienzechimiche Fisiche E Matematiche Universitadell'insubria-como

関連論文

• Elliptic differential inequalities with applications to harmonic maps
• Gradient bounds and Liouville's type theorems for the Poisson equation on complete Riemannian manifolds
• On the L^2 form spectrum of the Laplacian on nonnegatively curvedmanifolds

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