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Einstein solvmanifolds and graphs

open access: yesComptes Rendus. Mathématique, 2006
Abstract In this Note, we obtain Einstein solvmanifolds using Abelian extension of two-step nilpotent Lie algebras associated with graphs. To cite this article: H.-R. Fanai, C. R. Acad. Sci. Paris, Ser. I 344 (2007).
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Collapsing, solvmanifolds and infrahomogeneous spaces

open access: yesDifferential Geometry and its Applications, 1997
AbstractWhen phrased in terms of Hausdorff convergence, M. Gromov's almost flat manifold theorem states that if a compact manifold M admits a bounded curvature collapse to a point, then a finite cover of M is necessarily diffeomorphic to a nilmanifold. It is then tempting to ask whether the prescription of more general Hausdorff limits will still place
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Structure of locally conformally symplectic Lie algebras and solvmanifolds [PDF]

open access: green, 2018
Daniele Angella   +2 more
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