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C1-smooth surfaces of bounded exterior positive curvature

✍ Scribed by S. Z. Shefel'


Book ID
112450470
Publisher
SP MAIK Nauka/Interperiodica
Year
1976
Tongue
English
Weight
145 KB
Volume
16
Category
Article
ISSN
0037-4466

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We study the effect of simultaneous bounds on the local L 1 norms of the second fundamental form and of the Gauss curvature on the geometry of surfaces 7 embedded in a Riemannian manifold M. Such bounds are natural since (together with an area bound) they amount to a local bound on the area of the m