The stochastic Schwarz lemma on Kähler manifolds by couplings and its applications
From MaRDI portal
Publication:6199329
DOI10.1112/jlms.12849arXiv2208.09960WikidataQ124958043 ScholiaQ124958043MaRDI QIDQ6199329
Gunhee Cho, Guang Yang, Maria Gordina, Myeongju Chae
Publication date: 23 February 2024
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.09960
Applications of stochastic analysis (to PDEs, etc.) (60H30) Negative curvature complex manifolds (32Q05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positivity and completeness of invariant metrics
- La distance de Carathéodory n'est pas intérieure
- The Ahlfors-Schwarz lemma in several complex variables
- Gradient estimates on manifolds using coupling
- On completeness of the Bergman metric and its subordinate metric. II
- Coupling methods for multidimensional diffusion processes
- Gradient estimates for harmonic functions on regular domains in Riemannian manifolds
- Comparison and vanishing theorems for Kähler manifolds
- Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities.
- Kähler manifolds with Ricci curvature lower bound
- A note on first eigenvalue estimates by coupling methods in Kähler and quaternion Kähler manifolds
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Comparing the Carathéodory pseudo-distance and the Kähler-Einstein distance on complete Reinhardt domains
- Nonnegative ricci curvature and the brownian coupling property
- A General Schwarz Lemma for Kahler Manifolds
- Differential equations on riemannian manifolds and their geometric applications
- On completeness of the Bergman metric and its subordinate metric
- Eigenvalues, Inequalities, and Ergodic Theory
- Brownian Motions and Heat Kernel Lower Bounds on Kähler and Quaternion Kähler Manifolds
- On orthogonal Ricci curvature
- On the gradient estimate of Cheng and Yau
- Invariant distances and metrics in complex analysis