Reduction for the projective arclength functional

DOI10.1515/form.2005.17.4.569zbMath1084.53012OpenAlexW2046091740MaRDI QIDQ5692981

Lorenzo Nicolodi, Emilio Musso

Publication date: 28 September 2005

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: http://porto.polito.it/1994213/1/forum_proj_copia.pdf

zbMATH Keywords

exterior differential systemsreal projective planestationary curvereduction procedure for Hamiltonian systems

Mathematics Subject Classification ID

Exterior differential systems (Cartan theory) (58A15) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Projective differential geometry (53A20)

Related Items (6)

The Cauchy-Riemann strain functional for Legendrian curves in the 3-sphere ⋮ General-affine invariants of plane curves and space curves ⋮ Topologically embedded helicoidal pseudospherical cylinders ⋮ Critical Robertson-Walker universes ⋮ Coisotropic variational problems ⋮ Invariant signatures of closed planar curves

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