Relations between boundaries of a riemannian manifold

Autor:	J.L. Schiff
Rok vydání:	1972
Předmět:	Closed manifold Riemannian submersion General Mathematics Prescribed scalar curvature problem Riemannian manifold Topology Pseudo-Riemannian manifold symbols.namesake symbols Hermitian manifold Minimal volume Ricci curvature Mathematical physics Mathematics
Zdroj:	Bulletin of the Australian Mathematical Society. 6:25-30
ISSN:	1755-1633 0004-9727
DOI:	10.1017/s0004972700044221
Popis:	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.
Databáze:	OpenAIRE
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