The gaussian curvature of alexandrov surfaces

Journal of the Mathematical Society of Japan

Volumn 50, Issue 4, 1998, Pages 859-878

  Machigashira, Yoshiroh ^a  

^a OSAKA KYOIKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84996717708     PISSN: 00255645     EISSN: 18811167     Source Type: Journal    
DOI: 10.2969/jmsj/05040859     Document Type: Article

References (10)

1. A. D. Alexandrov, Die innere Geometrie der Konvexen Flächen, Akademie-Verlag, Berlin, 1955.
2. A. D. Alexandrov, Über eine Verallgemeinerung der Riemannscen Geometrie, Schriftenreiche der Institut für Mathematik 1 (1957), 33-84.
3. A. D. Alexandrov, V. N. Berestovskii, and I. G. Nikolaev, Generalized Riemannian Spaces, Uspehi Mat. Nauk 41:3 (1986), 3-44; English transi, in Russian Math. Surveys 41:3 (1986), 1-54.
4. H. Busemann, The Geometry of Geodesics, Academic Press, New York-London, 1955.
5. Y. Burago, M. Gromov and G. Perelman, A. D. Alexandrov’s spaces with curvatures bounded below, Preliminary version.
6. Y. Otsu and T. Shioya, The Riemannian Structure of Alexandrov Spaces, J. Differential Geom. 39 (1994), 629-658.
7. Y. Otsu, K. Shiohama, and T. Yamaguchi, A new version of differentiable sphere theorem, Invent. Math. 98 (1989), 219-228.
8. G. Perelman, A. D. Alexandrov’s spaces with curvatures bounded below II, preprint.
9. K. Shiohama, An Introduction to the Geometry of Alexandrov Spaces, Lecture Notes series Number 8, Seoul National University.
10. R. L. Wheeden and A. Zygmund, Measure and Integral, Monographs and textbooks 43, Pure and Applied Mathematics, 1977.