## Nihonkai Mathematical Journal

### Remarks on the Set of Poles on a Pointed Complete Surface

Toshiro Soga

#### Abstract

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

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

Dates
First available in Project Euclid: 14 June 2012

https://projecteuclid.org/euclid.nihmj/1339694048

Mathematical Reviews number (MathSciNet)
MR2894023

Zentralblatt MATH identifier
1250.53006

Subjects