L 2 Harmonic Forms on Rotationally Symmetric Riemannian Manifolds

@inproceedings{Dodziuk1979L2H,
  title={L 2 Harmonic Forms on Rotationally Symmetric Riemannian Manifolds},
  author={J{\'o}zef Dodziuk},
  year={1979}
}
The paper contains a vanishing theorem for P harmonic forms on complete rotationally symmetric Riemannian manifolds. This theorem requires no assumptions on curvature. This paper gives necessary and sufficient conditions for existence of L2 harmonic forms on a special class of Riemannian manifolds. Manifolds of this class were called models by Greene and Wu and played a crucial part in the study of function theory on open manifolds [GW]. Throughout the paper M will denote a model of dimension n… CONTINUE READING

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