Eigenvalues of harmonic almost submersions

Simple item page
dc.creatorLoubeau, E.
dc.creatorSlobodeanu, R.
dc.date2008-09-09
dc.date.accessioned2026-07-07T10:01:55Z
dc.date.available2026-07-07T10:01:55Z
dc.descriptionMaps between Riemannian manifolds which are submersions on a dense subset, are studied by means of the eigenvalues of the pull-back of the target metrics, the first fundamental form. Expressions for the derivatives of these eigenvalues yield characterizations of harmonicity, totally geodesic maps and biconformal changes of metric preserving harmonicity. A Schwarz lemma for pseudo harmonic morphisms is proved, using the dilatation of the eigenvalues and, in dimension five, a Bochner technique method, involving the Laplacian of the difference of the eigenvalues, gives conditions forcing pseudo harmonic morphisms to be harmonic morphisms.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/0809.1656
dc.identifierhttp://arxiv.org/abs/0809.1656
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168793
dc.subjectDifferential Geometry
dc.subject58E20; 53C43
dc.titleEigenvalues of harmonic almost submersions
dc.typetext

Files

Collections

arXiv