Neighborhoods and manifolds of immersed curves

DOI10.1155/2021/6974292zbMath1486.53075OpenAlexW4205511419MaRDI QIDQ2119859

Andrea C. G. Mennucci

Publication date: 30 March 2022

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/6974292

zbMATH Keywords

immersionsimmersed curves

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Curves in Euclidean and related spaces (53A04) Immersions in differential topology (57R42)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A short proof that \(\mathrm{Diff}_{c}(M)\) is perfect
• Complete metrics of bounded curvature on noncompact manifolds
• The action of the diffeomorphism group on the space of immersions
• Hamilton-Jacobi equations and distance functions on Riemannian manifolds
• Quotient elastic metrics on the manifold of arc-length parameterized plane curves
• Riemannian geometries on spaces of plane curves
• On active contour models and balloons
• Foliations and groups of diffeomorphisms
• Shapes and diffeomorphisms

This page was built for publication: Neighborhoods and manifolds of immersed curves