Tam'as Darvas

activity

20122026

most citedTian's properness conjectures and Finsler geometry of the space of Kahler metrics

144 citations · 420 across the 30 of their papers we have counts for

collaborators

Showing 2014 · math.DGShow all

3 papers · 2 filters

math.DG2014★ 7 cited

Geodesic Rays and Kähler-Ricci Trajectories on Fano Manifolds

Tamás Darvas, Weiyong He

Suppose $(X, J, ω)$ is a Fano manifold and $t \to r_{t}$ is a diverging Kähler-Ricci trajectory. We construct a bounded geodesic ray $t \to u_{t}$ weakly asymptotic to $t \to r_{t}$ , along…

math.DG2014

The Mabuchi Geometry of Finite Energy Classes

Tamás Darvas

We introduce different Finsler metrics on the space of smooth Kähler potentials that will induce a natural geometry on various finite energy classes $E_{χ ~} (X, ω)$ . M…

math.DG2014

The Mabuchi Completion of the Space of Kähler Potentials

Tamás Darvas

Suppose $(X, ω)$ is a compact Kähler manifold. Following Mabuchi, the space of smooth Kähler potentials $H$ can be endowed with a Riemannian structure, which induces an inf…