Weyl-Einstein structures on conformal solvmanifolds

DOI10.1007/S10711-022-00743-1OpenAlexW4308746468MaRDI QIDQ2098788

Andrei Moroianu, Arthur Schichl, Viviana del Barco

Publication date: 22 November 2022

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.13642

zbMATH Keywords

nilmanifoldssolvmanifoldsRiemannian Lie groupsconformal manifoldsWeyl-Einstein structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25)

Related Items (2)

Harmonic \(\operatorname{G}_2\)-structures on almost abelian Lie groups ⋮ Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds

Cites Work

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• The Ricci flow in a class of solvmanifolds
• Einstein solvmanifolds are standard
• Cocalibrated structures on Lie algebras with a codimension one Abelian ideal
• La 1-forme de torsion d'une variété hermitienne compacte
• Ricci curvature of left invariant metrics on solvable unimodular Lie groups
• Structure of homogeneous Riemann spaces with zero Ricci curvature
• Curvatures of left invariant metrics on Lie groups
• A spinorial approach to Riemannian and conformal geometry
• Einstein manifolds
• Left invariant metrics and curvatures on simply connected three-dimensional Lie groups
• Structures de Weyl-Einstein, espace de twisteurs et variétés de type S1 x S3.
• Curvature in Nilpotent Lie Groups
• Riemannian Geometry
• Non-compact Einstein manifolds with symmetry

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