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Curvature and Topology of Riemannian Manifolds pp 254–265Cite as

Critical points of Busemann functions on complete open surfaces

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1201))

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References

  1. Busemann, H.: The Geometry of Geodesics, Academic Press, New York, 1955.

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  2. Cheeger, J-Gromoll, D.: The splitting theorem for manifolds of nonnegative Ricci curvature, J. Differential Geometry, Vol. 6(1971), 119–128.

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  5. Greene, R-Shiohama, K.: Convex functions on complete noncompact manifolds; Topological Structure, Invent. Math., Vol. 63(1981), 129–157.

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  7. Shiohama, K.: The role of total curvature on complete noncompact Riemannian 2-manifolds, Illinois J. Math., Vol.28(1984), 597–620.

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Authors and Affiliations

  1. Department of Mathematics Faculty of Science, Kyushu University, 812, Fukuoka, Japan

    Katsuhiro Shiohama

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  1. Katsuhiro Shiohama
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Katsuhiro Shiohama Takashi Sakai Toshikazu Sunada

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© 1986 Springer-Verlag

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Shiohama, K. (1986). Critical points of Busemann functions on complete open surfaces. In: Shiohama, K., Sakai, T., Sunada, T. (eds) Curvature and Topology of Riemannian Manifolds. Lecture Notes in Mathematics, vol 1201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075661

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  • DOI: https://doi.org/10.1007/BFb0075661

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16770-9

  • Online ISBN: 978-3-540-38827-2

  • eBook Packages: Springer Book Archive

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