Open AccessA finiteness theorem for the space of $L^{p}$ harmonic sections
Author(s) -
Stefano Pigola,
Marco Tullio Rigoli,
Alberto G. Setti
Publication year - 2008
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/531
Subject(s) - space (punctuation) , mathematics , harmonic , mathematical analysis , pure mathematics , physics , philosophy , acoustics , linguistics
In this paper we give a unified and improved treatment to finite dimensionality results for subspaces of L p harmonic sections of Riemannian or Hermitian vector bundles over complete manifolds. The geometric conditions on the manifold are subsumed by the assump
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