齐次爱因斯坦流形的稳定性

IF 0.5 4区数学 Q3 MATHEMATICS Asian Journal of Mathematics Pub Date : 2021-05-13 DOI:10.4310/ajm.2022.v26.n4.a3

J. Lauret

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引用次数: 8

摘要

设g是紧齐次空间M=g/K上的g-不变Einstein度量。我们使用g在g-不变TT张量下的Lichnerowicz-Laplacian公式来研究g作为标量曲率函数临界点的稳定性类型。特别详细地研究了g自然还原的情况。

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On the stability of homogeneous Einstein manifolds

Let g be a G-invariant Einstein metric on a compact homogeneous space M=G/K. We use a formula for the Lichnerowicz Laplacian of g at G-invariant TT-tensors to study the stability type of g as a critical point of the scalar curvature function. The case when g is naturally reductive is studied in special detail.

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