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Geodesics on the Moduli Space of Oriented Circles in(mathbb{S}^{3})

✍ Scribed by Linyuan Fan; Ying Lü; Changping Wang; Jingyang Zhong


Publisher
Springer
Year
2011
Tongue
English
Weight
236 KB
Volume
59
Category
Article
ISSN
1422-6383

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📜 SIMILAR VOLUMES


An estimate on the total curvature of a
✍ I. D. Berg 📂 Article 📅 1982 🏛 Springer 🌐 English ⚖ 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