6 citations · 6 across the 6 of their papers we have counts for
7 papers
Quasiconvexity and Lower Semicontinuity in the Riemannian Setting
Aurora Corbisiero, Chiara Leone, Carlo Mantegazza
We introduce a notion of quasiconvexity for integrands defined on the bundle of linear maps between the tangent spaces of two smooth, connected and complete Riemannian manifolds $(…
Distance Functions, Curvature and Topology
Carlo Mantegazza, Francesca Oronzio
We discuss some properties of the distance functions on Riemannian manifolds and we relate their behavior to the geometry of the manifolds. This leads to alternative proofs of some…
-ADM Mass and -Positive Mass Theorem
Carlo Mantegazza, Francesca Oronzio
For a given admissible vector field , we define a geometric quantity for asymptotically flat --manifolds, called --ADM mass and we establish a relative positive mass theor…
Quasiconvexity in the Riemannian setting
Aurora Corbisiero, Chiara Leone, Carlo Mantegazza
We introduce a notion of quasiconvexity for continuous functions defined on the vector bundle of linear maps between the tangent spaces of a smooth Riemannian manifold …
A Note on Ricci-pinched three-manifolds
Luca Benatti, Carlo Mantegazza, Francesca Oronzio +1
Let be a complete, connected, non-compact Riemannian -manifold. Suppose that satisfies the Ricci--pinching condition f…
A Note on the Lalescu Sequence
Carlo Mantegazza, Nicola Pio Melillo
We prove that the Lalescu sequence is monotonically decreasing.
Riemannian Penrose inequality via Nonlinear Potential Theory
Virginia Agostiniani, Carlo Mantegazza, Lorenzo Mazzieri +1
We provide a new proof of the Riemannian Penrose inequality for time-symmetric asymptotically flat initial data with a single black-hole horizon. The proof proceeds through a newly…