7 citations · 23 across the 9 of their papers we have counts for
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CMC spheres in the Heisenberg group
Valentina Franceschi, Francescopaolo Montefalcone, Roberto Monti
We study a family of spheres with constant mean curvature (CMC) in the Riemannian Heisenberg group . These spheres are conjectured to be the isoperimetric sets of . We pr…
Stable H-minimal hypersurfaces
Francescopaolo Montefalcone
We prove some stability results for smooth H-minimal hypersurfaces immersed in a sub-Riemannian k-step Carnot group G. The main tools are the formulas for the 1st and 2nd variation…
Stability of Heisenberg Isoperimetric Profiles
Francescopaolo Montefalcone
In the context of sub-Riemannian Heisenberg groups Hn, n \geq 1, we shall study Isoperimetric Profiles, which are closed compact hypersurfaces having constant horizontal mean curva…
Hypergeometric solutions of the closed eigenvalue problem on Heisenberg Isoperimetric Profiles
Francescopaolo Montefalcone
After introducing the sub-Riemannian geometry of the Heisenberg group Hn, n \geq 1, we recall some basics about hypersurfaces endowed with the H-perimeter measure and horizontal Gr…