The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces
From MaRDI portal
Publication:599377
DOI10.1215/S0012-7094-78-04535-0zbMath0414.53039WikidataQ56270098 ScholiaQ56270098MaRDI QIDQ599377
Publication date: 1978
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Differential geometry of homogeneous manifolds (53C30) Differential geometry of symmetric spaces (53C35) Differential invariants (local theory), geometric objects (53A55)
Related Items (27)
Moving frames ⋮ Plane curves in Lie sphere geometry ⋮ Geometry of curves in generalized flag varieties ⋮ Symplectic structures of the spaces of projective and affine curves ⋮ Differential invariants ⋮ Discrete moving frames and discrete integrable systems ⋮ Generating differential invariants ⋮ Differential invariants of curves in \(G_2\) flag varieties ⋮ Symplectic invariants for curves and integrable systems in similarity symplectic geometry ⋮ Poisson structures for geometric curve flows in semi-simple homogeneous spaces ⋮ Integrable systems and invariant curve flows in symplectic Grassmannian space ⋮ On geometry of curves of flags of constant type ⋮ The maximal curves and heat flow in general-affine geometry ⋮ Moving frames, geometric Poisson brackets and the KdV-Schwarzian evolution of pure spinors ⋮ Discrete moving frames on lattice varieties and lattice-based multispaces ⋮ Curves in homogeneous spaces and their contact with 1-dimensional orbits ⋮ The Virasoro group and Lorentzian surfaces: The hyperboloid of one sheet ⋮ Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds ⋮ Integrable systems associated to curves in flat Galilean and Minkowski spaces ⋮ Covariants, joint invariants and the problem of equivalence in the invariant theory of Killing tensors defined in pseudo-Riemannian spaces of constant curvature ⋮ Persistence of freeness for Lie pseudogroup actions ⋮ Classification of curves in 2D and 3D via affine integral signatures ⋮ Algebraic geometry and local differential geometry ⋮ Coisotropic variational problems ⋮ Differential invariants of a Lie group action: syzygies on a generating set ⋮ The equivalence problem of curves in a Riemannian manifold ⋮ Invariants of Riemannian curves in dimensions 2 and 3
This page was built for publication: The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces
