Dimension estimate of polynomial growth harmonic forms

Jui Tang Ray Chen; Chiung Jue Anna Sung

doi:10.4310/jdg/1146680515

Dimension estimate of polynomial growth harmonic forms

Jui Tang Ray Chen, Chiung Jue Anna Sung

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Let H^p_l (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.

Original language	English
Pages (from-to)	167-183
Number of pages	17
Journal	Journal of Differential Geometry
Volume	73
Issue number	1
DOIs	https://doi.org/10.4310/jdg/1146680515
Publication status	Published - 2006
Externally published	Yes

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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Dimension estimate of polynomial growth harmonic forms

Abstract

ASJC Scopus subject areas

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