On Gromov's theorem and L   2 -Hodge decomposition

Fu-Zhou Gong and Feng-Yu Wang

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-20

Abstract:

Using a functional inequality, the essential spectrum and eigenvalues are estimated for Laplace-type operators on Riemannian vector bundles. Consequently, explicit upper bounds are obtained for the dimension of the corresponding L   2 -harmonic sections. In particular, some known results concerning Gromov's theorem and the L   2 -Hodge decomposition are considerably improved.

Date: 2004
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2004/650181.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2004/650181.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:650181

DOI: 10.1155/S0161171204210365

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().