3 citations · 4 across the 2 of their papers we have counts for
3 papers
math.DG2020★ 1 cited
A Bernstein theorem for two-valued minimal graphs in dimension four
Fritz Hiesmayr
We prove a Bernstein-type theorem for two-valued minimal graphs in the four-dimensional Euclidean space . This states that two-valued functions defined on the entire…
math.DG2020★ 3 cited
Rigidity of low index solutions on via a Frankel theorem for the Allen-Cahn equation
Fritz Hiesmayr
We prove a rigidity theorem in the style of Urbano for the Allen-Cahn equation on the three-sphere: the critical points with Morse index five are symmetric functions that vanish on…
math.DG2017
Spectrum and index of two-sided Allen-Cahn minimal hypersurfaces
Fritz Hiesmayr
The combined work of Guaraco, Hutchinson, Tonegawa and Wickramasekera has recently produced a new proof of the classical theorem that any closed Riemannian manifold of dimension $n…