76 citations · 300 across the 39 of their papers we have counts for
43 papers
Proper solutions of the -flow and the Green kernel of the -Laplacian
Luca Benatti, Luciano Mari, Marco Rigoli +2
We show existence and optimal growth estimate for the weak inverse mean curvature flow issuing from a point, on manifolds with certain curvature and isoperimetric conditions. These…
Some geometric properties of generalized -vacuum static spaces
Letizia Branca, Paolo Mastrolia, Marco Rigoli
In this paper we study the geometry of generalized -vacuum static spaces, proving estimates for the -scalar curvature and for the first eigenvalue of the Jacobi operator, and…
On minimal graphs of sublinear growth over manifolds with non-negative Ricci curvature
Giulio Colombo, Luciano Mari, Marco Rigoli
We prove that entire solutions of the minimal hypersurface equation \[ \mathrm{div}\left(\frac{Du}{\sqrt{1+|Du|^2}}\right) = 0 \] on a complete manifold with ,…
Growth of subsolutions of and of a general class of quasilinear equations
Luis J. Alias, Giulio Colombo, Marco Rigoli
In this paper we prove some integral estimates on the minimal growth of the positive part of subsolutions of quasilinear equations \[ \mathrm{div} A(x,u,\nabla u) = V|u|^{p-2…
Tachibana-type theorems on complete manifolds
Giulio Colombo, Marco Mariani, Marco Rigoli
We prove that a compact Riemannian manifold of dimension with harmonic curvature and -positive curvature operator has constant sectional cur…
Einstein-type structures, Besse's conjecture and a uniqueness result for a -CPE metric in its conformal class
Giulio Colombo, Luciano Mari, Marco Rigoli
In this paper, we study an extension of the CPE conjecture to manifolds which support a structure relating curvature to the geometry of a smooth map . The resulting…