Francesco Pediconi

activity

20182020

collaborators

6 papers

math.AP2020

A note on the strong maximum principle for fully nonlinear equations on Riemannian manifolds

Alessandro Goffi, Francesco Pediconi

We investigate strong maximum (and minimum) principles for fully nonlinear second order equations on Riemannian manifolds that are non-totally degenerate and satisfy appropriate sc…

math.DG2019

Convergence of locally homogeneous spaces

Francesco Pediconi

We study three different topologies on the moduli space $H_{m}^{loc}$ of equivariant isometry classes of $m$ -dimensional locally homogeneous Riemannian spaces. As an ap…

math.DG2019

A compactness theorem for locally homogeneous spaces

Francesco Pediconi

We prove the existence and uniqueness of geometric models of local isometry classes of locally homogeneous spaces with sectional curvature $∣ sec ∣ \leq 1$ . Moreover, w…

math.DG2019

Hermitian curvature flow on complex locally homogeneous surfaces

Francesco Pediconi, Mattia Pujia

We study the Hermitian curvature flow of locally homogeneous non-Kähler metrics on compact complex surfaces. In particular, we characterize the long-time behavior of the solutions…

math.DG2019

A local version of the Myers-Steenrod Theorem

Francesco Pediconi

We prove the Myers-Steenrod theorem for local topological groups of isometries acting on pointed $C^{k, α}$ -Riemannian manifolds, with $k + α > 0$ . As an application, we infer…

math.DG2018

Diverging sequences of unit volume invariant metrics with bounded curvature

Francesco Pediconi

We study 1-parameter families in the space $M_{1}^{G}$ of $G$ -invariant, unit volume metrics on a given compact, connected, almost-effective homogeneous space $M = G / H$ . In par…