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.
Publié le : 2009-05-15
Classification:
The basic Dirac operator,
transverse spin foliation,
transversally Einsteinian,
53C43,
58E20
@article{1264084493,
author = {Jung, Seoung Dal and Kim, Soon Chan and Park, Jeong Hyeong},
title = {New estimates for eigenvalues of the basic Dirac operator},
journal = {Tohoku Math. J. (2)},
volume = {61},
number = {1},
year = {2009},
pages = { 441-453},
language = {en},
url = {http://dml.mathdoc.fr/item/1264084493}
}
Jung, Seoung Dal; Kim, Soon Chan; Park, Jeong Hyeong. New estimates for eigenvalues of the basic Dirac operator. Tohoku Math. J. (2), Tome 61 (2009) no. 1, pp. 441-453. http://gdmltest.u-ga.fr/item/1264084493/