Nihonkai Mathematical Journal

Remarks on the Set of Poles on a Pointed Complete Surface

Toshiro Soga

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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.

Article information

Nihonkai Math. J., Volume 22, Number 1 (2011), 23-37.

First available in Project Euclid: 14 June 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53C22: Geodesics [See also 58E10]

Geodesic pole disconjugate property surface of revolution


Soga, Toshiro. Remarks on the Set of Poles on a Pointed Complete Surface. Nihonkai Math. J. 22 (2011), no. 1, 23--37.

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