Author:
,Bär Christian, , ,Brendle Simon, ,Hanke Bernhard, ,Wang Yipeng,
Abstract
We show scalar-mean curvature rigidity of warped products of round spheres of dimension at least 2 over compact intervals equipped with strictly log-concave warping functions. This generalizes earlier results of Cecchini-Zeidler to all dimensions. Moreover, we show scalar curvature rigidity of round spheres of dimension at least 3 with two antipodal points removed. This resolves a problem in Gromov's ''Four Lectures'' in all dimensions. Our arguments are based on spin geometry.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Cited by
1 articles.
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