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On the average curvature of a convex curve in a surface of nonpositive Gaussian curvature
Author(s):
Jin
Lu
Journal:
Proc. Amer. Math. Soc.
130
(2002),
3693-3699.
MSC (2000):
Primary 53C45, 58A05;
Secondary 52A10, 52A40
Posted:
May 1, 2002
MathSciNet review:
1920050
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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:
-
- 1.
- M.Bridgeman, Average curvature of convex curves in
 , Proc. Amer. Math. Soc., 126(1998), 221-224. MR 98c:52012 - 2.
- W.Klingenberg, A course in differential geometry, Springer-Verlag, New York, 1978. MR 57:13702
- 3.
- W.Klingenberg, D.Gromoll and W.Meyer, Riemannsche geometrie in Grossen, Springer-Verlag, Berlin, 1968. MR 37:4751
- 4.
- H.Wu, C.L.Shen and Y.L.Yu, Introduction of Riemannian geometry (Chinese), Beijing University Press, Beijing, 1989.
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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
DOI:
10.1090/S0002-9939-02-06511-5
PII:
S 0002-9939(02)06511-5
Keywords:
Average curvature,
curve,
surface
Received by editor(s):
October 13, 2000
Received by editor(s) in revised form:
July 11, 2001
Posted:
May 1, 2002
Additional Notes:
This work was supported by the Chinese NNSF
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2002,
American Mathematical Society
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