The geometry of filiform nilpotent Lie groups

DOI10.1216/RMJ-2010-40-5-1587zbMath1206.53058WikidataQ115240037 ScholiaQ115240037MaRDI QIDQ613533

Tracy L. Payne, Megan M. Kerr

Publication date: 21 December 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

nilmanifoldtotally geodesic submanifoldfiliform

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Nilpotent and solvable Lie groups (22E25)

Related Items

Isometry groups of six-dimensional filiform nilmanifolds ⋮ Isometry classes of simply connected nilmanifolds ⋮ Isometry groups of six-dimensional nilmanifolds ⋮ Geodesic vectors and flat totally geodesic subalgebras in nilpotent metric Lie algebras ⋮ A support theorem for the X-ray transform on manifolds with plane covers ⋮ Totally geodesic hypersurfaces of homogeneous spaces

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