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The Scalar Curvature on Totally Geodesic Fiberings

โœ Scribed by W. Kramer


Book ID
110239084
Publisher
Springer
Year
2000
Tongue
English
Weight
92 KB
Volume
18
Category
Article
ISSN
0232-704X

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๐Ÿ“œ SIMILAR VOLUMES


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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

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We discuss some existence results dealing with the scalar curvature problem on S n in the presence of various symmetries.