8-9 November 2018
University of Fribourg, Switzerland
Europe/Berlin timezone

Scalar curvature and the multiconformal class of a direct product Riemannian manifold

8 Nov 2018, 15:05
50m
University of Fribourg, Switzerland

University of Fribourg, Switzerland

Speaker

Saskia Roos (University of Potsdam)

Description

For a closed, connected direct product Riemannian manifold $(M,g) = (M_1 \times \ldots \times M_l, g_1 + \ldots + g_l)$ we define its multiconformal class $[\![ g ]\!]$ as the totality $\lbrace f_1^2 g_1 + \ldots + f_l^2 g_l \rbrace$ of all Riemannian metrics obtained from multiplying the metric $g_i$ of each factor by a function $f_i^2:M \rightarrow \mathbb{R}_+$. In this talk we discuss how constant scalar curvature metrics in a multiconformal class are related with constant scalar curvature metrics on the factors.

Presentation Materials

There are no materials yet.
Your browser is out of date!

Update your browser to view this website correctly. Update my browser now

×