On the average curvature of a convex curve in a surface of nonpositive Gaussian curvature
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- by Jin Lu PDF
- Proc. Amer. Math. Soc. 130 (2002), 3693-3699 Request permission
Abstract:
In this paper, the upper bound of the average curvature of a convex curve in a simply connected surface of nonpositive Gaussian curvature is obtained.References
- Martin Bridgeman, Average curvature of convex curves in $H^2$, Proc. Amer. Math. Soc. 126 (1998), no. 1, 221–224. MR 1415576, DOI 10.1090/S0002-9939-98-04047-7
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Additional Information
- Jin Lu
- Affiliation: Department of Mathematics, Fudan University, Shanghai 200433, People’s Republic of China
- Email: jinluk@online.sh.cn
- Received by editor(s): October 13, 2000
- Received by editor(s) in revised form: July 11, 2001
- Published electronically: May 1, 2002
- Additional Notes: This work was supported by the Chinese NNSF
- Communicated by: Ronald A. Fintushel
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3693-3699
- MSC (2000): Primary 53C45, 58A05; Secondary 52A10, 52A40
- DOI: https://doi.org/10.1090/S0002-9939-02-06511-5
- MathSciNet review: 1920050