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math.DG2019
Harmonic maps from surfaces of arbitrary genus into spheres
Renan Assimos, Jürgen Jost
We relate the existence problem of harmonic maps into to the convex geometry of . On one hand, this allows us to construct new examples of harmonic maps of degree 0 from…
math.DG2019
Spherical Bernstein theorems for codimension 1 and 2
Renan Assimos, Jürgen Jost
A result of B.Solomon (On the Gauss map of an area-minimizing hypersurface. 1984. Journal of Differential Geometry, 19(1), 221-232.) says that a compact minimal hypersurface …