International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2004 / Article

Open Access

Volume 2004 |Article ID 650181 |

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.

On Gromov's theorem and L2-Hodge decomposition

Received22 Oct 2002


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.

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