A relation between the total curvature and the measure of rays, II
Koichi Shiga
Source: Tohoku Math. J. (2) Volume 36, Number 1
(1984), 149-157.
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53C65
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tmj/1178228909
Mathematical Reviews number (MathSciNet): MR0733625
Zentralblatt MATH identifier: 0546.53030
Digital Object Identifier: doi:10.2748/tmj/1178228909
References
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Mathematical Reviews (MathSciNet): MR75623
Zentralblatt MATH: 0112.37002
[2] S. COHN-VOSSEN, Krzeste Wege und Totalkrmmung auf Flachen, Compositio Math. (1935), 63-133.
Mathematical Reviews (MathSciNet): MR1556908
[3] S. CoHN-VossEN, Totalkrmmung und geodatische Linien auf einfach zusammenhangende ofenen volstandigen Flachenstcken, Recueil Math. Moscow 43 (1936), 139-163.
[4] N. INNAMI, Differentiability of Busemann functions and total excess, Math. Z. 180 (1982), 235-247.
Mathematical Reviews (MathSciNet): MR661700
Zentralblatt MATH: 0471.53045
Digital Object Identifier: doi:10.1007/BF01318907
[5] M. MAEDA, On the existence of rays, Sci. Rep. Yokohama National University 26 (1979), 1-4.
Mathematical Reviews (MathSciNet): MR553892
Zentralblatt MATH: 0431.53038
[6] M. MAEDA, Remarks on the distribution of rays, to appear in Sci. Rep. Yokoham National University.
Mathematical Reviews (MathSciNet): MR648749
Zentralblatt MATH: 0583.53040
[7] M. MAEDA, A geometric significance of total curvature on complete open surfaces, t appear in Geometry of Geodesies and Related Topics, Advanced Studies in Pure Mathematics 3, Kinokuniya, Tokyo and North-Holland Publ. Amsterdam.
Mathematical Reviews (MathSciNet): MR758663
Zentralblatt MATH: 0542.53028
[8] K. SHIGA, On a relation between the total curvature and the measure of rays, Tsukub J. Math. 6 (1982), 41-50.
Mathematical Reviews (MathSciNet): MR675599
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[9] K. SHIOHAMA, Busemann functions and total curvature, Inventions Math. 53 (1979), 281-297.
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[10] K. SHIOHAMA, A role of total curvature on complete noncompact Riemannian 3-manifolds, to appear in Illinois J. Math.
Mathematical Reviews (MathSciNet): MR761993
Zentralblatt MATH: 0551.53022
Project Euclid: euclid.ijm/1256045969
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