𝔖 Bobbio Scriptorium
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Nearly spherical surfaces

✍ Scribed by H. Guggenheimer


Book ID
105318895
Publisher
Springer
Year
1969
Tongue
English
Weight
249 KB
Volume
3
Category
Article
ISSN
0001-9054

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Let βŠ‚ R 3 be a smooth compact connected surface without boundary. Denote by A its second fundamental form and by Γ… the tensor A -(tr A/2)Id. In [4] we proved that, if Γ… L 2 ( ) is small, then is W 2,2 -close to a round sphere. In this note we show that, in addition, the metric of is C 0 -close to th