Limitations on the smooth confinement of an unstretchable manifold

DOI10.1063/1.533394zbMath0995.53041arXivmath-ph/0007003OpenAlexW3099439925MaRDI QIDQ2738101

Thomas A. Witten, Shankar C. Venkataramani, Robert Geroch, Eric M. Kramer

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0007003

zbMATH Keywords

isometric embeddingunit Euclidean ballunstretchable manifold

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (5)

Geometry and elasticity of strips and flowers ⋮ On singularities of stationary isometric deformations ⋮ Confining thin elastic sheets and folding paper ⋮ Sobolev spaces of isometric immersions of arbitrary dimension and co-dimension ⋮ Stress focusing in elastic sheets

Cites Work

• The imbedding problem for Riemannian manifolds
• Branes, times and dualities
• On the completeness of nullity foliations
• Crumpled paper
• Embeddings and immersions in Riemannian geometry

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