4 citations · 6 across the 3 of their papers we have counts for
4 papers
Submanifolds with Biharmonic Gauss Map
A. Balmuş, S. Montaldo, C. Oniciuc
We generalize the Ruh-Vilms problem by characterizing the submanifolds in Euclidean spaces with proper biharmonic Gauss map and we construct examples of such hypersurfaces.
Biharmonic Hypersurfaces in 4-Dimensional Space Forms
A. Balmuş, S. Montaldo, C. Oniciuc
We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in space forms. We obtain the full classification of proper biharmonic hypersurfaces…
Classification results for biharmonic submanifolds in spheres
A. Balmuş, S. Montaldo, C. Oniciuc
We classify biharmonic submanifolds with certain geometric properties in Euclidean spheres. For codimension 1, we determine the biharmonic hypersurfaces with at most two distinct p…
Harmonic morphisms and the Jacobi operator
Stefano Montaldo, John C. Wood
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…