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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