In this paper we give a unified and improved treatment to finite dimensionality results for subspaces of Lp harmonic sections of Riemannian or Hermitian vector bundles over complete manifolds. The geometric conditions on the manifold are subsumed by the assumption that the Morse index of a related Schrödinger operator is finite. Applications of the finiteness theorem to concrete geometric situations are also presented.
A finiteness theorem for the space of $L\sp p$ harmonic sections. / S. Pigola, M. Rigoli, A. G. Setti. - In: REVISTA MATEMATICA IBEROAMERICANA. - ISSN 0213-2230. - 24:1(2008), pp. 91-116.
A finiteness theorem for the space of $L\sp p$ harmonic sections.
M. RigoliSecondo
;
2008
Abstract
In this paper we give a unified and improved treatment to finite dimensionality results for subspaces of Lp harmonic sections of Riemannian or Hermitian vector bundles over complete manifolds. The geometric conditions on the manifold are subsumed by the assumption that the Morse index of a related Schrödinger operator is finite. Applications of the finiteness theorem to concrete geometric situations are also presented.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
