文章基本信息

标题：On Gromov's theorem and <mml:math alttext="$L^2$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>L</mml:mi><mml:mrow><mml:mtext> </mml:mtext><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>-Hodge decomposition
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作者：Fu-Zhou Gong ; Feng-Yu Wang
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2004
卷号：2004
DOI：10.1155/S0161171204210365
出版社：Hindawi Publishing Corporation
摘要：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.