The homotopy type of spaces of locally convex curves in the sphere

DOI10.2140/gt.2015.19.1155zbMath1318.53066arXiv1207.4221OpenAlexW3104433129MaRDI QIDQ2346432

Nicolau C. Saldanha

Publication date: 2 June 2015

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4221

zbMATH Keywords

convex curvesperiodic solutions of linear ODEstopology in infinite dimension

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Linear boundary value problems for ordinary differential equations (34B05) Algebraic topology of manifolds (57N65) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (9)

Stratification of spaces of locally convex curves by itineraries ⋮ Results on the homotopy type of the spaces of locally convex curves on $\mathbb{S}^3$ ⋮ On the classification of prolongations up to Engel homotopy ⋮ Spaces of curves with constrained curvature on hyperbolic surfaces ⋮ Homotopical and topological rigidity of hypersurfaces of spherical space forms ⋮ Locally convex curves and the Bruhat stratification of the spin group ⋮ Loose Engel structures ⋮ The geometry of \(C^1\) regular curves in sphere with constrained curvature ⋮ On the space of \(C^1\) regular curves on sphere with constrained curvature

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