66 citations · 218 across the 20 of their papers we have counts for
20 papers
Dark Coriolis Fields
Gabriele Bianchi, Federico Re, Oliver Fabio Piattella
We argue that the standard post-Newtonian expansion scheme used in General Relativity leaves room for time-space components of the metric to be of the same order of the us…
Strict concavity properties of cross covariograms
Gabriele Bianchi, Almut Burchard, Lawrence Lin
It is well-known that the cross covariogram of two convex bodies in n dimensions is 1/n-concave on its support. This paper provides conditions for strict 1/n-concavity in dimension…
The Pólya-Szegő inequality for smoothing rearrangements
Gabriele Bianchi, Richard J. Gardner, Paolo Gronchi +1
A basic version of the Pólya-Szegő inequality states that if is a Young function, the -Dirichlet energy -- the integral of -- of a suitable function $f\in…
Full rotational symmetry from reflections or rotational symmetries in finitely many subspaces
Gabriele Bianchi, Richard J. Gardner, Paolo Gronchi
Two related questions are discussed. The first is when reflection symmetry in a finite set of -dimensional subspaces, , implies full rotational symmetry, i…
Rearrangement and polarization
Gabriele Bianchi, Richard J. Gardner, Paolo Gronchi +1
The paper has two main goals. The first is to take a new approach to rearrangements on certain classes of measurable real-valued functions on . Rearrangements are map…
Convergence of symmetrization processes
Gabriele Bianchi, Richard J. Gardner, Paolo Gronchi
Steiner and Schwarz symmetrizations, and their most important relatives, the Minkowski, Minkowski-Blaschke, fiber, inner rotational, and outer rotational symmetrizations, are inves…