A Lagrangian approach to extremal curves on Stiefel manifolds

DOI10.3934/jgm.2020031zbMath1477.58006OpenAlexW3106048390MaRDI QIDQ2052471

K. Hüper, Fátima Silva Leite, Irina Markina

Publication date: 26 November 2021

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2020031

zbMATH Keywords

variational calculusLagrange multipliergeodesicsStiefel manifoldindefinite metricKilling formextremal curvessmooth distributions

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (6)

Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance ⋮ Closed-form geodesics and optimization for Riemannian logarithms of Stiefel and flag manifolds ⋮ The sub-Riemannian geometry of screw motions with constant pitch ⋮ Operator-valued formulas for Riemannian gradient and Hessian and families of tractable metrics in Riemannian optimization ⋮ A multi-parameter family of metrics on Stiefel manifolds and applications ⋮ Curvatures of Stiefel manifolds with deformation metrics

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