1999/10/31 by Stefano Montaldo, Montaldo, Stefano, John C. Wood +1
Mathematics · #58E20 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:58E20
paper · pdf · doi:10.48550/arxiv.math/9910180
10 pages
arxiv created 1999/11/01 · arxiv updated 2009/11/30
We prove that harmonic morphisms preserve the Jacobi operator along harmonic maps. We apply this result to prove infinitesimal and local rigidity (in the sense of Toth) of harmonic morphisms to a sphere.