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Title:
Scalar and mean curvature comparison for Riemannian bands
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Abstract:
We use $\mu$-bubbles to compare Riemannian bands in scalarcurvature, mean curvature and width to warped products over scalar flatmanifolds with $\log$-concave warping functions. Furthermore we explainhow these comparison results can be used to prove two conjectures due toGromov resp. Rosenberg and Stolz in dimensions $\leq 7$. Thistalk is, in part, based on joint work with S. Cecchini and R. Zeidler.
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