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On the shape operator of surfaces in space forms

✍ Scribed by Konrad Voss


Book ID
120766364
Publisher
Springer
Year
2001
Tongue
English
Weight
985 KB
Volume
40
Category
Article
ISSN
1422-6383

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Conformal geometry of surfaces in Lorent
✍ L. J. AlΔΊas; B. Palmer πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 579 KB

We study the conformal geometry of an oriented space-like surface in three-dimensional Lorentzian space forms. After introducing the conformal compactification of the Lorentzian space forms, we define the conformal Gauss map which is a conformally invariant two parameter family of oriented spheres.