A finiteness theorem for the space of \(L^{p}\) harmonic sections

DOI10.4171/RMI/531zbMath1153.53024OpenAlexW1993158133MaRDI QIDQ935482

Alberto G. Setti, Stefano Pigola, Marco Rigoli

Publication date: 6 August 2008

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1216247097

zbMATH Keywords

Schrödinger operatorRicci curvatureMorse indexharmonic sectionsRiemannian vector bundleholomorphic sections

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Existence and non-existence results for a logistic-type equation on manifolds ⋮ \(L^p\) harmonic 1-forms on minimal hypersurfaces with finite index ⋮ Stability properties and topology at infinity of \(f\)-minimal hypersurfaces

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