Geodesics as products of one‐parameter subgroups in compact lie groups and homogeneous spaces
DOI10.1002/mana.202000282zbMath1529.53054OpenAlexW4323668151MaRDI QIDQ6047372
Publication date: 9 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.202000282
Differential geometry of homogeneous manifolds (53C30) Applications of global differential geometry to the sciences (53C80) Geodesics in global differential geometry (53C22) Integrable cases of motion in rigid body dynamics (70E40) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Cites Work
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- Two-step homogeneous geodesics in homogeneous spaces
- On Euler-Arnold equations and totally geodesic subgroups
- Compact Riemannian manifolds with homogeneous geodesics
- The Jacobi equation on naturally reductive compact Riemannian homogeneous spaces
- Geodesic orbit Riemannian structures on \(\mathbf{R}^n\)
- Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds
- On the structure of geodesic orbit Riemannian spaces
- Some examples of manifolds of nonnegative curvature
- Euler equations on homogeneous spaces and Virasoro orbits
- Geodesics in reductive homogeneous spaces
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Groups of diffeomorphisms and the motion of an incompressible fluid
- INTEGRABLE EULER EQUATIONS ASSOCIATED WITH FILTRATIONS OF LIE ALGEBRAS
- Riemannian flag manifolds with homogeneous geodesics
- Homogeneous manifolds whose geodesics are orbits. Recent results and some open problems
- Open problems and questions about geodesics
- Riemannian Manifolds and Homogeneous Geodesics
- Geodesics and Classical Mechanics on Lie Groups
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