Embedding surfaces inside small domains with minimal distortion
DOI10.1007/s00526-021-02014-5zbMath1472.53053arXiv2104.00404OpenAlexW3181200875WikidataQ115386563 ScholiaQ115386563MaRDI QIDQ2048716
Publication date: 23 August 2021
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.00404
convexityEuler-Lagrange equationenergy boundsvolume boundscritical mapsconstant singular valuesdistortion functionalsexact minimizersminimizing well
Nonlinear elasticity (74B20) Global Riemannian geometry, including pinching (53C20) Optimization of shapes other than minimal surfaces (49Q10) Rigidity results (53C24)
Uses Software
Cites Work
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- Geometry of logarithmic strain measures in solid mechanics
- Weyl ordering symbol method for studying Wigner function of the damping field
- Explicit energy-minimizers of incompressible elastic brittle bars under uniaxial extension
- On strain measures and the geodesic distance to \(\mathrm{SO}_n\) in the general linear group
- On isometries and on a theorem of Liouville
- Elastic theory of unconstrained non-Euclidean plates
- Macroscopic response of nematic elastomers via relaxation of a class of \(SO(3)\)-invariant energies
- Reshetnyak rigidity for Riemannian manifolds
- A geometric perspective on the Piola identity in Riemannian settings
- The minimization of matrix logarithms: on a fundamental property of the unitary polar factor
- On the smoothness of isometries
- Introduction to Smooth Manifolds
- A Logarithmic Minimization Property of the Unitary Polar Factor in the Spectral and Frobenius Norms
- Sensitive terms in the path integral: Ordering and stochastic options
- Shaping of Elastic Sheets by Prescription of Non-Euclidean Metrics
- On square roots of class Cm of nonnegative functions of one variable
- Higher integrability of determinants and weak convergence in L1.
- Existence and regularity of isometries
- On the global stability of two-dimensional, incompressible, elastic bars in uniaxial extension
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