Christian Ketterer:
Lower bounds for the transversal Ricci curvature of a Riemannian foliation via entropy convexity
Zeit und Ort
Dienstag, 3.5.22, 16:00-17:00, Raum 127, Ernst-Zermelo-Str. 1
Zusammenfassung
The transversal Ricci curvature of a Riemannian foliation\nis the trace of the transversal Riemannian curvature tensor on the associated normal bundle of the leaves. Lower bounds for the transversal Ricci tensor, for instance, imply estimates for the first eigenvalue of the basic Laplacian by results of Richardson. In this talk we will see that transversal lower Ricci bounds imply (and in some cases also require) entropy convexity estimates along special Kantorovich Rubinstein geodesics. A correction term that involves the mean curvature vector of the leaves will play a special role.