Remarks on the Set of Poles on a Pointed Complete Surface

Toshiro Soga

doi:nihmj/1339694048

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Home > Journals > Nihonkai Math. J. > Volume 22 > Issue 1 > Article

2011 Remarks on the Set of Poles on a Pointed Complete Surface

Toshiro Soga

Nihonkai Math. J. 22(1): 23-37 (2011).

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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.