Proceedings of the Centre for Mathematics and its Applications

$L^2$ harmonic forms on non-compact Riemannian manifolds

Gilles Carron

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Abstract

First, I want to present some questions on $L^2-$ harmonic forms on non-compact Riemannian manifolds. Second, I will present an answer to an old question of J. Dodziuk on $L^2-$ harmonic forms on manifolds with flat ends. In fact some of the analytical tools presented here apply in other situations (see [C4]).

Article information

Source
Surveys in Analysis and Operator Theory. Andrew Hassell, ed. Proceedings of the Centre for Mathematics and its Applications, v. 40. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 2002), 49-59

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416323098

Mathematical Reviews number (MathSciNet)
MR1953479

Zentralblatt MATH identifier
1038.58023

Citation

Carron, Gilles. $L^2$ harmonic forms on non-compact Riemannian manifolds. Surveys in Analysis and Operator Theory, 49--59, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 2002. https://projecteuclid.org/euclid.pcma/1416323098


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