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Locally homogeneous aspherical Sasaki manifolds

Baues, Oliver ; Kamishima, Yoshinobu

In: Differential Geometry and its Applications, 2020, vol. 70, p. 101607

Isometry Lie algebras of indefinite homogeneous spaces of finite volume

Baues, Oliver ; Globke, Wolfgang ; Zeghib, Abdelghani

In: Proceedings of the London Mathematical Society, 2019, vol. 119, no. 4, p. 1115–1148

Let 𝔤 be a real finite‐dimensional Lie algebra equipped with a symmetric bilinear form ⟨·,·⟩ . We assume that ⟨·,·⟩ is nil‐invariant. This means that every nilpotent operator in the smallest algebraic Lie subalgebra of endomorphisms containing the adjoint representation of 𝔤 is an infinitesimal isometry for ⟨·,·⟩ . Among these Lie algebras are the isometry Lie...