Dimension estimate of polynomial growth harmonic forms
Chen, Jui-Tang Ray ; Sung, Chiung-Jui Anna
J. Differential Geom., Tome 72 (2006) no. 1, p. 167-183 / Harvested from Project Euclid
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Let Hpl(M) be the space of polynomial growth harmonic forms. We proved that the dimension of such spaces must be finite and can be estimated if the metric is uniformly equivalent to one with a nonnegative curvature operator. In particular, this implies that the space of harmonic forms of fixed growth order on the Euclidean space with any periodic metric must be finite dimensional.
Publié le : 2006-05-14
Classification:  
@article{1146680515,
     author = {Chen, Jui-Tang Ray and Sung, Chiung-Jui Anna},
     title = {Dimension estimate of polynomial growth harmonic forms},
     journal = {J. Differential Geom.},
     volume = {72},
     number = {1},
     year = {2006},
     pages = { 167-183},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1146680515}
}

Chen, Jui-Tang Ray; Sung, Chiung-Jui Anna. Dimension estimate of polynomial growth harmonic forms. J. Differential Geom., Tome 72 (2006) no. 1, pp.  167-183. http://gdmltest.u-ga.fr/item/1146680515/