Spaces of Locally Convex Curves in S^n and Combinatorics of the Group B_(n+1)^+

DOI10.5427/jsing.2012.4azbMath1292.58002arXivmath/0703803OpenAlexW2055517936MaRDI QIDQ5171495

Nicolau C. Saldanha, Boris Zalmanovich Shapiro

Publication date: 27 July 2014

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703803

zbMATH Keywords

Weyl grouphomotopy equivalencelocally convex curves

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (7)

Stratification of spaces of locally convex curves by itineraries ⋮ Results on the homotopy type of the spaces of locally convex curves on $\mathbb{S}^3$ ⋮ Spaces of curves with constrained curvature on hyperbolic surfaces ⋮ Locally convex curves and the Bruhat stratification of the spin group ⋮ 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 ⋮ The homotopy type of spaces of locally convex curves in the sphere

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