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Linear stability of Einstein metrics

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Changliang Wang
Thu, 2018-11-08 16:30 - 17:30
MPIM Lecture Hall

Einstein metrics on a compact manifold are critical points of the normalized total scalar curvature functional. So it is natural to study the behavior of the second variation of the normalized total scalar curvature functional at an Einstein metric. This is known as the linear stability problem of Einstein metrics. In this talk, we will briefly review previous works on this problem, and then I will report our recent work on the linear stability of some interesting Einstein manifolds, including some Riemannian manifolds with real Killing spinors, and Einstein metrics from bundle constructions.

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