The Liouville property on products of Riemannian manifolds

DOI10.1134/S0001434612070292zbMath1277.58009OpenAlexW1977846918WikidataQ115253932 ScholiaQ115253932MaRDI QIDQ1938656

Yanyan Li

Publication date: 22 February 2013

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

Full work available at URL: https://doi.org/10.1134/s0001434612070292

zbMATH Keywords

Wiener processRiemannian manifoldSchrödinger equationLaplace-Beltrami operatorRiemannian productparabolic manifoldcompact manifold without boundaryLiouville property of manifolds

Mathematics Subject Classification ID

Brownian motion (60J65) Elliptic equations on manifolds, general theory (58J05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Diffusion processes and stochastic analysis on manifolds (58J65) Potential theory on Riemannian manifolds and other spaces (31C12) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• L ¹ Properties of Second order Elliptic Operators
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

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