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math.DG2019
A conformal Yamabe problem with potential on the euclidean space
Giovanni Catino, Filippo Gazzola, Paolo Mastrolia
We consider, in the Euclidean setting, a conformal Yamabe-type equation related to a potential generalization of the classical constant scalar curvature problem and which naturally…
math.DG2019
On the umbilic set of immersed surfaces in three-dimensional space forms
Giovanni Catino, Alberto Roncoroni, Luigi Vezzoni
We prove that under some assumptions on the mean curvature the set of umbilical points of an immersed surface in a -dimensional space form has positive measure. In case of an im…