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Euclidean hypersurfaces with a totally geodesic foliation of codimension one

✍ Scribed by Dajczer, M.; Rovenski, V.; Tojeiro, R.


Book ID
121558202
Publisher
Springer
Year
2014
Tongue
English
Weight
195 KB
Volume
176
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES


An estimate on the total curvature of a
✍ I. D. Berg πŸ“‚ Article πŸ“… 1982 πŸ› Springer 🌐 English βš– 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