Kodai Mathematical Seminar Reports

A remark on Royden's compactification of Riemannian spaces

I-hsiung Lin

Full-text: Open access

Article information

Source
Kodai Math. Sem. Rep., Volume 22, Number 3 (1970), 338-340.

Dates
First available in Project Euclid: 1 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1138846170

Digital Object Identifier
doi:10.2996/kmj/1138846170

Mathematical Reviews number (MathSciNet)
MR0265583

Zentralblatt MATH identifier
0215.23203

Subjects
Primary: 30.45
Secondary: 53.00

Citation

Lin, I-hsiung. A remark on Royden's compactification of Riemannian spaces. Kodai Math. Sem. Rep. 22 (1970), no. 3, 338--340. doi:10.2996/kmj/1138846170. https://projecteuclid.org/euclid.kmj/1138846170


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References

  • [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.
  • [3] I, S., Fundamental solutions of parabolic differential equations and boundar value problems. Japan J. Math. 27 (1957), 55-102.
  • [4] KUSUNOKI, Y., AND S. MORI, On the harmonic boundary of an open Rieman surface, I. Japan J. Math. 29 (1959), 52-56.
  • [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.
  • [7] NAKAI, M., Bordered Riemann surfaces with parabolic double. Proc. Japan Acad 37 (1961), 553-555.
  • [8] ROYDEN, H., Harmonic functions on open Riemann surfaces. Trans. Amer. Math Soc. 73 (1952), 40-94.
  • [9] SARIO, L., AND M. NAKAI, Classification theory of Riemann surfaces. Spnger Verlag (1970), 446 pp.