LONG TIME ASYMPTOTIC PROPERTIES OF HEAT KERNELS ON NEGATIVELY CURVED RIEMANNIAN MANIFOLDS

DOI10.1142/S0219025701000528zbMath1172.58303OpenAlexW2150226962WikidataQ115245793 ScholiaQ115245793MaRDI QIDQ4460453

Kanji Ichihara

Publication date: 18 May 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025701000528

zbMATH Keywords

heat kernellong time asymptoticsnegatively curved manifolds

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)

Cites Work

• On the essential spectrum of a complete Riemannian manifold
• On the spectrum of Cartan-Hadamard manifolds
• Théoremes de comparaison en géométrie Riemannienne
• Related aspects of positivity in Riemannian geometry
• Continuity of Solutions of Parabolic and Elliptic Equations
• Curvature, geodesics and the Brownian motion on a Riemannian manifold II—Explosion properties