An application of Lie groupoids to a rigidity problem of 2-step nilmanifolds

DOI10.21136/MB.2018.0041-17zbMath1474.53211WikidataQ125946212 ScholiaQ125946212MaRDI QIDQ5227161

Atefeh Hasan-Zadeh, Hamid-Reza Fanaï

Publication date: 5 August 2019

Published in: Mathematica Bohemica (Search for Journal in Brave)

zbMATH Keywords

nilpotent Lie groupnormalizerLie algebroidinner automorphismisometric nilmanifoldsnormal subgroupoid system

Mathematics Subject Classification ID

Rigidity results (53C24) Topological groupoids (including differentiable and Lie groupoids) (22A22) General theory of group and pseudogroup actions (22F05)

Cites Work

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• Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)
• Rigidity for surfaces of non-positive curvature
• Isospectral deformations of compact solvmanifolds
• Geodesic conjugacies of two-step nilmanifolds
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• Conjugacy and rigidity for nonpositively curved manifolds of higher rank
• Torsion-free groups having finite automorphism groups. I
• On the geometric and topological rigidity of hyperbolic 3-manifolds
• Geometry of $2$-step nilpotent groups with a left invariant metric
• Symplectic rigidity of geodesic flows on two-step nilmanifolds1
• Minimal entropy and Mostow's rigidity theorems
• Homomorphisms between diffeomorphism groups
• Die Konstruktion von Gruppen mit vorgeschriebenen Automorphismengruppen.
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• Primary Abelian Groups and Their Automorphisms
• Lie groups

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