Central conjugate locus of 2-step nilpotent Lie groups

DOI10.1007/S00209-017-1865-4zbMath1412.53063arXiv1507.05661OpenAlexW2254124536WikidataQ115388743 ScholiaQ115388743MaRDI QIDQ1686803

Patrick Eberlein

Publication date: 15 December 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05661

zbMATH Keywords

Grassmann manifolds2-step nilpotent Lie group of type \((p,q)\)central conjugate locusIsometry classes of type \((p,q)\)primitive conjugate valuesweak conjugacy

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22)

Cites Work

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• Continuous families of isospectral Riemannian metrics which are not locally isometric
• Riemannian submersions and lattices in 2-step nilpotent Lie groups
• CONJUGATE LOCI OF 2-STEP NILPOTENT LIE GROUPS SATISFYING J²_z= <Sz, z>A
• Morse Theory. (AM-51)
• Characteristic Classes. (AM-76)
• Geometry of $2$-step nilpotent groups with a left invariant metric

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