Open Access
2009 New estimates for eigenvalues of the basic Dirac operator
Seoung Dal Jung, Soon Chan Kim, Jeong Hyeong Park
Tohoku Math. J. (2) 61(4): 441-453 (2009). DOI: 10.2748/tmj/1264084493

Abstract

On a transverse spin foliation, we give a new lower bound for the square of the eigenvalues of the basic Dirac operator by the smallest eigenvalue of the basic Yamabe operator. Moreover, the limiting foliation is transversally Einsteinian.

Citation

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Seoung Dal Jung. Soon Chan Kim. Jeong Hyeong Park. "New estimates for eigenvalues of the basic Dirac operator." Tohoku Math. J. (2) 61 (4) 441 - 453, 2009. https://doi.org/10.2748/tmj/1264084493

Information

Published: 2009
First available in Project Euclid: 21 January 2010

zbMATH: 1197.53036
MathSciNet: MR2598243
Digital Object Identifier: 10.2748/tmj/1264084493

Subjects:
Primary: 53C43
Secondary: 58E20

Keywords: The basic Dirac operator , transversally Einsteinian , transverse spin foliation

Rights: Copyright © 2009 Tohoku University

Vol.61 • No. 4 • 2009
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