Sebastian Throm

Bridging the Gaps Oberseminar Analysis: Christoph Böhm (WWU): Non-compact Einstein manifolds with symmetry

Wednesday, 28.04.2021 12:00 per ZOOM: Link to Zoom info

Mathematik und Informatik

We obtain structure results for non-compact Einstein manifolds with negative Einstein constant assuming an isometric Lie group action with compact, smooth orbit space. For the corresponding Riemannian submersion we derive sharp $L^2$-curvature estimates which rely on pointwise curvature estimates on the homogeneous fibres (coming from real geometric invariant theory), a generalized Helmholtz decomposition for smooth vector fields and a moment map description of the $L^2$-Ricci curvature tensor. This is joint work with R. Lafuente.

Angelegt am Thursday, 08.04.2021 13:04 von Sebastian Throm
Geändert am Thursday, 22.04.2021 13:46 von Sebastian Throm
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