The area as a natural pseudo-Hermitian structure on the spaces of plane polygons and curves

DOI10.1016/j.difgeo.2010.05.004zbMath1339.58003OpenAlexW2093148532WikidataQ115357074 ScholiaQ115357074MaRDI QIDQ988749

Jorge L. López-López

Publication date: 18 August 2010

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2010.05.004

zbMATH Keywords

space of closed curvesspace of polygons

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Manifolds of mappings (58D15)

Related Items (1)

Fundamental group of spaces of simple polygons

Cites Work

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• Submersions via projections
• The action of the diffeomorphism group on the space of immersions
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach
• Riemannian geometries on spaces of plane curves
• Flat Surfaces
• Shapes of Stars
• Banach-Like Distances and Metric Spaces of Compact Sets
• Riemannian geometry

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