Spherical Means and Geodesic Chains on a Riemannian Manifold

DOI10.2307/1998666zbMath0514.58037OpenAlexW4243804169MaRDI QIDQ3660581

Toshikazu Sunada

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998666

zbMATH Keywords

heat equationergodicitygeodesic chainuniform probability density

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (9)

On probabilistic commutative spaces ⋮ Fold maps associated to geodesic random walks on non-positively curved manifolds ⋮ Unnamed Item ⋮ A dynamical zeta function for pseudo Riemannian foliations ⋮ Kähler magnetic fields on Kähler manifolds of negative curvature ⋮ The Pompeiu problem on locally symmetric spaces ⋮ The Poisson boundary of Teichmüller space ⋮ Morera theorems for complex manifolds ⋮ Pompeiu transforms on geodesic spheres in real analytic manifolds

Cites Work

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• Note on product formulas for operator semigroups
• Fourier integral operators. I
• Morse Theory. (AM-51)
• Mean-value theorems for Riemannian manifolds
• The central limit problem for geodesic random walks

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