A criterion of nonparabolicity by the Ricci curvature
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Publication:2095585
DOI10.1007/s11401-022-0355-0zbMath1505.53077OpenAlexW4312768943MaRDI QIDQ2095585
Publication date: 17 November 2022
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-022-0355-0
Global Riemannian geometry, including pinching (53C20) Differential geometric aspects of harmonic maps (53C43) Potential theory on Riemannian manifolds and other spaces (31C12) PDEs on manifolds (35R01)
Cites Work
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- Bounded harmonic functions on Riemannian manifolds of nonpositive curvature
- Function theory on manifolds which possess a pole
- Function theory, random paths and covering spaces
- Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
- The Dirichlet problem at infinity for manifolds of negative curvature
- The Dirichlet problem at infinity for a negatively curved manifold
- Coercive inequalities on metric measure spaces
- Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set
- Nonlinear analysis in geometry
- Harmonic functions and the structure of complete manifolds
- A note on the existence of positive Green's function
- A new Laplacian comparison theorem and the estimate of eigenvalues
- Transience and capacity of minimal submanifolds
- The Poisson kernel of positively curved manifolds
- Green's functions, harmonic functions, and volume comparison
- Harmonic maps of bounded symmetric domains
- HARMONIC MAPS FROM SMOOTH METRIC MEASURE SPACES
- Curvature, geodesics and the Brownian motion on a Riemannian manifold I—Recurrence properties
- Symmetric Green's Functions on Complete Manifolds
- Harmonic functions on complete riemannian manifolds
- Differential equations on riemannian manifolds and their geometric applications
- On Deciding Whether a Surface is Parabolic or Hyperbolic
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- How to obtain transience from bounded radial mean curvature
- On the characterization of parabolicity and hyperbolicity of submanifolds