The covariance metric in the Blaschke locus
From MaRDI portal
Publication:6131321
DOI10.1007/s12220-024-01586-warXiv2301.05289OpenAlexW4393164961MaRDI QIDQ6131321
Xian Dai, Nikolas Eptaminitakis
Publication date: 5 April 2024
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.05289
Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invariant distributions and X-ray transform for Anosov flows
- Regularity of topological and metric entropy of hyperbolic flows
- Polynomial cubic differentials and convex polygons in the projective plane
- An extension of the Weil-Petersson metric to quasi-Fuchsian space
- Flat projective structures on surfaces and cubic holomorphic differentials
- Thermodynamics, dimension and the Weil-Petersson metric
- On a purely Riemannian proof of the structure and dimension of the unramified moduli space of a compact Riemann surface
- Chern forms and the Riemann tensor for the moduli space of curves
- The Teichmüller theory of harmonic maps
- Some inverse spectral results for negatively curved 2-manifolds
- Lie groups and Teichmüller space
- The ergodic theory of axiom A flows
- Noncompleteness of the Weil-Petersson metric for Teichmüller space
- Spectral rigidity of a compact negatively curved manifold
- Derivatives of topological entropy for Anosov and geodesic flows
- On contact Anosov flows
- Geodesic length functions and the Nielsen problem
- The Weil-Petersson isometry group
- Transformation groups in differential geometry.
- An introduction to Higgs bundles via harmonic maps
- Classical and microlocal analysis of the x-ray transform on Anosov manifolds
- Limits of Blaschke metrics
- On cyclic Higgs bundles
- The marked length spectrum of Anosov manifolds
- Volume entropy of Hilbert metrics and length spectrum of Hitchin representations into \(\mathrm{PSL}(3,\mathbb{R})\)
- Flat metrics, cubic differentials and limits of projective holonomies
- Some remarks on Teichmüller's space of Riemann surfaces
- Curvature properties of Teichmüller's space
- Affine spheres and convex [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /-manifolds]
- Survey on Affine Spheres
- Holomorphic differentials as functions of moduli
- The Self-Duality Equations on a Riemann Surface
- Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
- The inverse function theorem of Nash and Moser
- Elliptic theory of differential edge operators I
- Reconstruction formulas for X-ray transforms in negative curvature
- Variations along the Fuchsian locus
- Geodesic stretch, pressure metric and marked length spectrum rigidity
- Geometric Inverse Problems
- Short survey on the existence of slices for the space of Riemannian metrics
- AN INVITATION TO HIGHER TEICHMÜLLER THEORY
- On the space of Riemannian metrics
- Geodesic coordinates for the pressure metric at the Fuchsian locus
- Hitchin components for orbifolds