Parametrized curves in Lagrange Grassmannians

DOI10.1016/j.crma.2007.10.034zbMath1130.53042OpenAlexW2054109420MaRDI QIDQ2465359

Chengbo Li, Igor Zelenko

Publication date: 3 January 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.10.034

zbMATH Keywords

Jacobi equationssymplectic invariantssub-Finslerian structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Grassmannians, Schubert varieties, flag manifolds (14M15) Differential geometric aspects of harmonic maps (53C43) Sub-Riemannian geometry (53C17)

Related Items (11)

Curvatures and hyperbolic flows for natural mechanical systems in Finsler geometry ⋮ Geometry of fanning curves in divisible Grassmannians ⋮ On geometry of curves of flags of constant type ⋮ Jacobi equations and comparison theorems for corank 1 sub-Riemannian structures with symmetries ⋮ Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations. I ⋮ Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds ⋮ Bishop and Laplacian comparison theorems on three-dimensional contact sub-Riemannian manifolds with symmetry ⋮ Riemannian and sub-Riemannian geodesic flows ⋮ Ricci curvature type lower bounds for sub-Riemannian structures on Sasakian manifolds. ⋮ Differential geometry of curves in Lagrange Grassmannians with given Young diagram ⋮ On projective and affine equivalence of sub-Riemannian metrics

Cites Work

• Geometry of Jacobi curves. I

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