3 papers
math.MG2024
Planar radial mean bodies are convex
J. Haddad
The radial mean bodies of parameter of a convex body are radial sets introduced in [4] by Gardner and Zhang. They are known to be convex for $p\geq…
math.FA2023
Radon transforms with small derivatives and distance inequalities for convex bodies
Julián Haddad, Alexander Koldobsky
Generalizing the slicing inequality for functions on convex bodies from [11], it was proved in [4] that there exists an absolute constant so that for any , any…
math.DG2016
A Morse deformation lemma at infinity
Julián Haddad
We prove a generalized version of the classic deformation lemma from Morse Theory that considers functions going to at a compact set, and allowing the lower value of the…