International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2004 / Article

Open Access

Volume 2004 |Article ID 650181 | https://doi.org/10.1155/S0161171204210365

Fu-Zhou Gong, Feng-Yu Wang, "On Gromov's theorem and L2-Hodge decomposition", International Journal of Mathematics and Mathematical Sciences, vol. 2004, Article ID 650181, 20 pages, 2004. https://doi.org/10.1155/S0161171204210365

On Gromov's theorem and L2-Hodge decomposition

Received22 Oct 2002

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 L2-harmonic sections. In particular, some known results concerning Gromov's theorem and the L2-Hodge decomposition are considerably improved.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


More related articles

 PDF Download Citation Citation
 Order printed copiesOrder
Views84
Downloads407
Citations

We are committed to sharing findings related to COVID-19 as quickly as possible. We will be providing unlimited waivers of publication charges for accepted research articles as well as case reports and case series related to COVID-19. Review articles are excluded from this waiver policy. Sign up here as a reviewer to help fast-track new submissions.