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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Spherical means and geodesic chains on a Riemannian manifold


Author: Toshikazu Sunada
Journal: Trans. Amer. Math. Soc. 267 (1981), 483-501
MSC: Primary 58G15; Secondary 58G32, 60J25
DOI: https://doi.org/10.1090/S0002-9947-1981-0626485-6
MathSciNet review: 626485
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Abstract: Some spectral properties of spherical mean operators defined on a Riemannian manifold are given. As an application we deduce a statistic property of geodesic chains which is interesting from the view point of geometric probability.


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DOI: https://doi.org/10.1090/S0002-9947-1981-0626485-6
Article copyright: © Copyright 1981 American Mathematical Society