Matteo Rizzi

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math.DG2025

Lawson cones and the Allen-Cahn equation

Oscar Agudelo, Matteo Rizzi

In this paper we discuss nondegeneracy and stability properties of some special minimal hypersurfaces which are asymptotic to a given Lawson cone $C_{m, n}$ , for $m, n \geq 2$ . Then…

math.DG2024

The Jacobi operator of some special minimal hypersurfaces

Oscar Agudelo, Matteo Rizzi

In this work we discuss stability and nondegeneracy properties of some special families of minimal hypersurfaces embedded in $R^{m} \times R^{n}$ with $m, n \geq 2$ . The…