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Relations between boundaries of a riemannian manifold

Published online by Cambridge University Press:  17 April 2009

J.L. Schiff
J.L. Schiff
Affiliation:
University of Auckland, Auckland, New Zealand.
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For a noncompact riemannian manifold R, let MP (R) be the P-algebra, and R*P the P-compactification, with the assumption that ∫RPdV = ∞. If s is the P-singular point of the P-harmonic boundary ΔP, and Δ is the harmonic boundary of Royden's compactification R*, we construct a continuous mapping π: R* → R*P such that π(Δ) = Δp or π(Δ) = ΔP – s.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1972 , pp. 25 - 30
Copyright
Copyright © Australian Mathematical Society 1972

References

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