Convexity of the ideal boundary for complete open surfaces
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- by Jin-Whan Yim PDF
- Trans. Amer. Math. Soc. 347 (1995), 687-700 Request permission
Abstract:
For complete open surfaces admitting total curvature, we define several kinds of convexity for the ideal boundary, and provide examples of each of them. We also prove that a surface with most strongly convex ideal boundary is in fact a generalization of a Hadamard manifold in the sense that the ideal boundary consists entirely of Busemann functions.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 687-700
- MSC: Primary 53C20; Secondary 53C45
- DOI: https://doi.org/10.1090/S0002-9947-1995-1243176-1
- MathSciNet review: 1243176