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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Author: N. Anghel
Journal: Proc. Amer. Math. Soc. 133 (2005), 2461-2467
MSC (2000): Primary 53C27, 58J50; Secondary 54A10
Published electronically: March 17, 2005
MathSciNet review: 2138889
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Abstract: We use separation of variables for generalized Dirac operators on rotationally symmetric Riemannian manifolds to recover a theorem of Dodziuk regarding the spaces of $L^2$-harmonic forms on such manifolds.


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Additional Information

N. Anghel
Affiliation: Department of Mathematics, University of North Texas, Denton, Texas 76203
Email: anghel@unt.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07947-5
PII: S 0002-9939(05)07947-5
Keywords: $L^2$-harmonic forms, rotationally symmetric Riemannian manifolds, generalized Dirac operators, separation of variables
Received by editor(s): April 16, 2004
Published electronically: March 17, 2005
Communicated by: Jozef Dodziuk
Article copyright: © Copyright 2005 American Mathematical Society