Weakly symmetric pseudo-Riemannian nilmanifolds

DOI10.4310/JDG/1664378619OpenAlexW4312902550WikidataQ115163769 ScholiaQ115163769MaRDI QIDQ2080645

Joseph A. Wolf, Zhiqi Chen

Publication date: 10 October 2022

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.07847

zbMATH Keywords

nilmanifoldshomogeneous pseudo-Riemannian manifoldscommutative nilmanifoldsweakly symmetric pseudo-Riemannian spaces

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Classification theorems for complex manifolds (32Q57)

Related Items (3)

Families of geodesic orbit spaces and related pseudo-Riemannian manifolds ⋮ The structure of geodesic orbit Lorentz nilmanifolds ⋮ Pseudo-Riemannian geodesic orbit nilmanifolds of signature \((n-2,2)\)

Cites Work

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• On Gelfand Pairs Associated with Solvable Lie Groups
• Commutative Spaces Which are Not Weakly Symmetric
• Weakly symmetric Riemannian manifolds with reductive isometry group
• Curvature in Nilpotent Lie Groups

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