Add to ORKGIn this paper we prove that on a closed oriented surface, flat metrics determined by holomorphic quadratic differentials can be distinguished from other flat cone metrics by the length spectrum.Comment: Revised versio
Abstract. We describe a framework for constructing the general Ricci-flat metric on the anticanonica...
We calculate the $L^2$-norm of the holomorphic sectional curvature of a K\"ahler metric by represent...
We prove a uniform estimate, valid for every closed Riemann surface of genus at least two, that boun...
Length spectral rigidity is the question of under what circumstances the geometry of a surface can b...
We study the shortest geodesics on flat cone spheres, i.e. flat metrics on the sphere with conical s...
We study sufficient conditions for the existence of flat subspaces in the space of continuous pluris...
In this paper we consider flat metrics (semi-translation structures) on surfaces of finite type. The...
Given a parabolic geometry, it is sometimes possible to find special metrics characterised by some i...
A cuspidal end is a type of metric singularity, described as a product $S^1 \times \left] a, +\infty...
The metric associated with the Liouville quantum gravity (LQG) surface has been constructed through ...
In this thesis we consider strata of flat metrics coming from quadratic differentials (semi-translat...
Let $\mathbb{P}\Omega^d\mathcal{M}_{0,n}(\kappa)$, where $\kappa=(k_1,\dots,k_n)$, be a stratum of (...
This dissertation is concerned with equivalence relations on homotopy classes of curves coming from...
The marked length spectrum (MLS) of a closed negatively curved manifold $(M, g)$ is known to determi...
A new metric on the open 2-dimensional unit disk is defined making it a geodesically complete metric...
Abstract. We describe a framework for constructing the general Ricci-flat metric on the anticanonica...
We calculate the $L^2$-norm of the holomorphic sectional curvature of a K\"ahler metric by represent...
We prove a uniform estimate, valid for every closed Riemann surface of genus at least two, that boun...
Length spectral rigidity is the question of under what circumstances the geometry of a surface can b...
We study the shortest geodesics on flat cone spheres, i.e. flat metrics on the sphere with conical s...
We study sufficient conditions for the existence of flat subspaces in the space of continuous pluris...
In this paper we consider flat metrics (semi-translation structures) on surfaces of finite type. The...
Given a parabolic geometry, it is sometimes possible to find special metrics characterised by some i...
A cuspidal end is a type of metric singularity, described as a product $S^1 \times \left] a, +\infty...
The metric associated with the Liouville quantum gravity (LQG) surface has been constructed through ...
In this thesis we consider strata of flat metrics coming from quadratic differentials (semi-translat...
Let $\mathbb{P}\Omega^d\mathcal{M}_{0,n}(\kappa)$, where $\kappa=(k_1,\dots,k_n)$, be a stratum of (...
This dissertation is concerned with equivalence relations on homotopy classes of curves coming from...
The marked length spectrum (MLS) of a closed negatively curved manifold $(M, g)$ is known to determi...
A new metric on the open 2-dimensional unit disk is defined making it a geodesically complete metric...
Abstract. We describe a framework for constructing the general Ricci-flat metric on the anticanonica...
We calculate the $L^2$-norm of the holomorphic sectional curvature of a K\"ahler metric by represent...
We prove a uniform estimate, valid for every closed Riemann surface of genus at least two, that boun...