Browsing 2 - Snapshots of Modern Mathematics from Oberwolfach by Author "Kordaß, Jan-Bernhard"
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The Interaction of Curvature and Topology
[SNAP-2019-020-EN] Kordaß, Jan-Bernhard (Mathematisches Forschungsinstitut Oberwolfach, 2019-12-18)In this snapshot we will outline the mathematical notion of curvature by means of comparison geometry. We will then try to address questions as the ways in which curvature might influence the topology of a space, and ... -
Spaces of Riemannian metrics
[SNAP-2017-010-ENSNAP-2017-010-ES] Bustamante, Mauricio; Kordaß, Jan-Bernhard (Mathematisches Forschungsinstitut Oberwolfach, 2017-12-28)Riemannian metrics endow smooth manifolds such as surfaces with intrinsic geometric properties, for example with curvature. They also allow us to measure quantities like distances, angles and volumes. These are the ...