Oberseminar Differentialgeometrie: Volker Branding (Wien): Higher order generalizations of harmonic maps
Montag, 25.05.2020 16:15 im Raum Zoom
"The harmonic map equation is a second order semilinear elliptic PDE
for maps between Riemannian manifolds for which
many results on both existence and qualitative behaviour of its
solutions have been obtained over the years.
Recently, many researchers got attracted in higher order variants of
harmonic maps. First, we will give an overview and present some
recent results on biharmonic maps which constitute a fourth order
generalization of harmonic maps.
In the main part of the talk we will focus on a higher order generalization
of harmonic maps initially proposed by Eells and Sampson in 1964 and present
several recent results on the latter.
This is joint work with Stefano Montaldo, Cezar Oniciuc and Andrea Ratto."