Electronic Resource
Springer
Annals of global analysis and geometry
18 (2000), S. 589-600
ISSN:
1572-9060
Keywords:
Riemannian submersion
;
scalar curvature
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We give a generalization of a theorem of Llarull concerning thebehaviour of the scalar curvature while perturbing the metric. In thispaper the following is shown: let Ñ →N be a Riemannian submersion with totally geodesic fibre. IfÑ has the property that perturbingits metric towards a bigger one implies that there is a point onÑ where the perturbed scalarcurvature is less than the original one, then also the base manifoldN possesses this property. This result is applied to theprojective spaces.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006644823883
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