Isometries between given surfaces and the isometric deformation of a single unstretchable material surface
DOI10.1007/s10659-022-09909-0zbMath1503.53007OpenAlexW4284883686MaRDI QIDQ2085531
Yi-Chao Chen, Eliot Fried, Roger L. Fosdick
Publication date: 18 October 2022
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-022-09909-0
embeddingdevelopable surfacerectifying developabletwo-dimensional Riemannian manifoldinternal constraintinextensible surfaceinextensional surface
Differential geometric aspects in vector and tensor analysis (53A45) Thin films (74K35) Membranes (74K15) Surfaces in Euclidean and related spaces (53A05) Embeddings in differential topology (57R40)
Cites Work
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- Extrinsically flat Möbius strips on given knots in 3-dimensional spaceforms
- A pretender to the title ``canonical Möbius strip
- Über ein abwickelbares Möbiusband
- Flat Möbius strips of given isotopy type in \(\mathbb R^{3}\) whose centerlines are geodesics or lines of curvature
- Issues concerning isometric deformations of planar regions to curved surfaces
- Sides of the Möbius strip
- Closed unstretchable knotless ribbons and the Wunderlich functional
- Translation of Michael Sadowsky's paper ``An elementary proof for the existence of a developable Möbius band and the attribution of the geometric problem to a variational problem
- Translation of W. Wunderlich's ``On a developable Möbius band
- Möbius strips with flat metrics
- Elementary Differential Geometry
- The Dark Side of the Moebius Strip
- Möbius bands, unstretchable material sheets and developable surfaces
- Isometric immersions and embeddings of a flat Möbius strip in Euclidean spaces
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