✦ LIBER ✦

Scalar curvature estimates for (n + 4k)-dimensional manifolds

✍ Scribed by Marcelo Llarull

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 493 KB
Volume: 6
Category: Article
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(96)00025-3

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✦ Synopsis

Combining vanishing arguments with certain Gromov-Lawson techniques some sharp estimates on the scalar curvature are found. More precisely, any compact spin (n + 4k)-dimensional manifold which admits a distance decreasing non-zero ~,-degree map onto the standard n-dimensional sphere must have a point at which the scalar curvature is stictly less than n(n + I)/(n +4k)(n + 4k -1), otherwise, the map is an isometric submersion.

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