Abstract:This survey deals with two closely connected topics: first, the stability of Einstein metrics under the Einstein-Hilbert functional, and second, their deformation theory and the study of the moduli space of Einstein metrics on a compact manifold. To first order, both problems reduce to studying the spectrum and eigentensors of the Lichnerowicz Laplacian. We give an introduction to the classical theory and survey recent results and advances.
From: Paul Schwahn [view email]
[v1]
Thu, 24 Jul 2025 14:39:13 UTC (50 KB)
[v2]
Thu, 16 Oct 2025 22:27:56 UTC (50 KB)
[v3]
Mon, 15 Jun 2026 21:15:41 UTC (52 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。