Stability of Compact Symmetric Spaces
نویسندگان
چکیده
Abstract In this article, we study the stability problem for Einstein–Hilbert functional on compact symmetric spaces following and completing seminal work of Koiso subject. We classify in detail irreducible representations simple Lie algebras with Casimir eigenvalue less than adjoint representation use information to prove Einstein metrics both quaternionic Cayley projective plane. Moreover, that Grassmannians different from are unstable.
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2022
ISSN: ['1559-002X', '1050-6926']
DOI: https://doi.org/10.1007/s12220-021-00838-3