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2011 Remarks on the Set of Poles on a Pointed Complete Surface
Toshiro Soga
Nihonkai Math. J. 22(1): 23-37 (2011).


M. Tanaka ([2]) determined the radius of the ball which consists of all poles in a von Mangoldt surface of revolution. The purpose of the present paper is to give an alternative proof and a geometrical meaning of the radius. Furthermore, we estimate the radius of the maximal ball consisting of poles in a complete surface homeomorphic to the plane under a certain condition.


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Toshiro Soga. "Remarks on the Set of Poles on a Pointed Complete Surface." Nihonkai Math. J. 22 (1) 23 - 37, 2011.


Published: 2011
First available in Project Euclid: 14 June 2012

zbMATH: 1250.53006
MathSciNet: MR2894023

Primary: 53C22

Keywords: disconjugate property , Geodesic , pole , surface of revolution

Rights: Copyright © 2011 Niigata University, Department of Mathematics

Vol.22 • No. 1 • 2011
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