Curvature, geodesics and the Brownian motion on a Riemannian manifold II—Explosion properties

DOI10.1017/S002776300001998XzbMath0514.58039OpenAlexW1518599826WikidataQ115336406 ScholiaQ115336406MaRDI QIDQ3660583

Kanji Ichihara

Publication date: 1982

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s002776300001998x

zbMATH Keywords

Ricci curvatureLaplacian on Riemannian manifoldminimal diffusion processfinite explosion time

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Geodesics in global differential geometry (53C22)

Related Items

Heat kernel bounds, conservation of probability and the Feller property, Properties at infinity of diffusion semigroups and stochastic flows via weak uniform covers, Comparison theorems for Brownian motions on Riemannian manifolds and their applications, Heat kernel and Green kernel comparison theorems for infinite graphs, Brownian motion and the distance to a submanifold, Volume growth, spectrum and stochastic completeness of infinite graphs, Stochastic completeness of graphs: bounded Laplacians, intrinsic metrics, volume growth and curvature, Nonlinear characterizations of stochastic completeness, Propagation and extinction of fronts for semilinear parabolic equations on Riemannian manifolds, Long time behavior of jump-diffusion processes on Riemannian manifolds, Uniqueness for the heat equation in Riemannian manifolds, On Deciding Whether a Submanifold Is Parabolic or Hyperbolic Using Its Mean Curvature, Stochastically Incomplete Manifolds and Graphs, Nonexistence results for elliptic differential inequalities with a potential on Riemannian manifolds, LONG TIME ASYMPTOTIC PROPERTIES OF HEAT KERNELS ON NEGATIVELY CURVED RIEMANNIAN MANIFOLDS, Comparing heat operators through local isometries or fibrations, On Laplacian and Hessian comparison theorems, Ends, fundamental tones, and capacities of minimal submanifolds via extrinsic comparison theory, Conformal type of ends of revolution in space forms of constant sectional curvature

Cites Work

• Some global properties of symmetric diffusion processes
• Curvature, geodesics and the Brownian motion on a Riemannian manifold I—Recurrence properties
• Unnamed Item
• Unnamed Item