The asymptotic behavior of the set of rays

S. J. Mendonça

doi:10.1007/s000140050021

JournalscmhVol. 72, No. 3pp. 331–348

The asymptotic behavior of the set of rays

S. J. Mendonça
Universidade Federal Fluminense, Niterói, Brazil

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Abstract

We introduce new invariants to study the asymptotic behavior of the set of rays and prove a splitting theorem for the radius of the ideal boundary of an open manifold with $K \geq 0$ (Shioya's Conjecture).

Cite this article

S. J. Mendonça, The asymptotic behavior of the set of rays. Comment. Math. Helv. 72 (1997), no. 3, pp. 331–348

DOI 10.1007/S000140050021