Nihonkai Mathematical Journal
- Nihonkai Math. J.
- Volume 22, Number 1 (2011), 23-37.
Remarks on the Set of Poles on a Pointed Complete Surface
M. Tanaka () 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.
Nihonkai Math. J., Volume 22, Number 1 (2011), 23-37.
First available in Project Euclid: 14 June 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 53C22: Geodesics [See also 58E10]
Soga, Toshiro. Remarks on the Set of Poles on a Pointed Complete Surface. Nihonkai Math. J. 22 (2011), no. 1, 23--37. https://projecteuclid.org/euclid.nihmj/1339694048