Continuity of Extremal Distance on the Kuramochi Compactification of Riemann Surfaces

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type:Departmental Bulletin Paper

The continuity problem of the extremal distance proposed by Ohtsuka has been unsolved over twenty years. In 1993 Shlyk has solved the problem in a d-dimensional Euclidean space. In this article we show that the continuity of the extremal distance holds on the Kuramochi compactification of Riemann surfaces.

identifier:滋賀大学教育学部紀要, 3, 自然科学, 第59号, pp.19-27

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