An \(H^2\) Riemannian metric on the space of planar curves modulo similitudes

DOI10.1016/j.aam.2013.06.003zbMath1285.58006OpenAlexW2072306687WikidataQ115362396 ScholiaQ115362396MaRDI QIDQ395202

Jayant Shah

Publication date: 29 January 2014

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2013.06.003

zbMATH Keywords

geodesicssectional curvatureinfinite dimensional manifoldsplanar loops

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Local Riemannian geometry (53B20) Variational aspects of group actions in infinite-dimensional spaces (58E40)

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Cites Work

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