New estimates for eigenvalues of the basic Dirac operator
Seoung Dal Jung, Soon Chan Kim, and Jeong Hyeong Park
Source: Tohoku Math. J. (2) Volume 61, Number 4
(2009), 441-453.
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.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tmj/1264084493
Digital Object Identifier: doi:10.2748/tmj/1264084493
Zentralblatt MATH identifier: 05687937
Mathematical Reviews number (MathSciNet): MR2598243
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