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The intersection of complete geodesics onS2with positive curvature

โœ Scribed by Detang Zhou


Publisher
Springer
Year
2003
Tongue
English
Weight
232 KB
Volume
182
Category
Article
ISSN
0373-3114

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๐Ÿ“œ SIMILAR VOLUMES


An estimate on the total curvature of a
โœ I. D. Berg ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Springer ๐ŸŒ English โš– 321 KB

In this note we show that the total curvature of a geodesic in the manifoldwith-boundary consisting of Euclidean 3-space with a boundary of the form z = f(x, y) has a bound of at most 2p iff satisfies a Lipschitz condition with the Lipschitz constant at most p. This global result immediately yields