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A remark on Royden’s compactification of Riemannian spaces. (English) Zbl 0215.23203

MSC:

53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
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[1] CHANG, J., Royden’s compactification of Riemannian spaces. Doctoral dissertation, University of California, Los Angeles (1968), 74 pp.
[2] GLASNER, M., AND R. KATZ, The Royden boundary of a Riemannian manifold To appear in J. Math. Mech. · Zbl 0195.11601
[3] I, S., Fundamental solutions of parabolic differential equations and boundar value problems. Japan J. Math. 27 (1957), 55-102. · Zbl 0092.31101
[4] KUSUNOKI, Y., AND S. MORI, On the harmonic boundary of an open Rieman surface, I. Japan J. Math. 29 (1959), 52-56. · Zbl 0098.28002
[5] KWON, Y., Integral representations of harmonic functions on Riemannian spaces Doctoral dissertation, University of California, Los angeles (1969), 100 pp.
[6] NAKAI, M., A measure on the harmonic boundary of a Riemann surface. Nagoy Math. J. 17 (1960), 181-218. · Zbl 0101.05402
[7] NAKAI, M., Bordered Riemann surfaces with parabolic double. Proc. Japan Acad 37 (1961), 553-555. · Zbl 0109.05101
[8] ROYDEN, H., Harmonic functions on open Riemann surfaces. Trans. Amer. Math Soc. 73 (1952), 40-94. · Zbl 0049.17806
[9] SARIO, L., AND M. NAKAI, Classification theory of Riemann surfaces. Spnger Verlag (1970), 446 pp. · Zbl 0199.40603
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