Collapsing and the differential form Laplacian: The case of a smooth limit space
Lott, John
Duke Math. J., Tome 115 (2002) no. 1, p. 267-306 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We analyze the limit of the $p$-form Laplacian under a collapse, with bounded sectional curvature and bounded diameter, to a smooth limit space. As an application, we characterize when the $p$-form Laplacian has small positive eigenvalues in a collapsing sequence.
Publié le : 2002-08-15
Classification:  58J50,  31C12,  35P15 
@article{1087575411,
     author = {Lott, John},
     title = {Collapsing and the differential form Laplacian: The case of a smooth limit space},
     journal = {Duke Math. J.},
     volume = {115},
     number = {1},
     year = {2002},
     pages = { 267-306},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087575411}
}

Lott, John. Collapsing and the differential form Laplacian: The case of a smooth limit space. Duke Math. J., Tome 115 (2002) no. 1, pp.  267-306. http://gdmltest.u-ga.fr/item/1087575411/