Explicit formulas for the geodesics of homogeneous SO(2)-isotropic three-dimensional manifolds

DOI10.1006/aima.2000.1950zbMath0978.53082OpenAlexW2021344250MaRDI QIDQ5927527

Andrea Loi, Paola Sitzia

Publication date: 14 February 2002

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.2000.1950

zbMATH Keywords

Euler-Lagrange equationsgeodesicshomogeneous manifoldsvolume density function

Mathematics Subject Classification ID

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

Cites Work

• Curvatures of left invariant metrics on Lie groups
• The volume of a small geodesic ball of a Riemannian manifold
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