Non‐recursive functions, knots “with thick ropes,” and self‐clenching “thick” hyperspheres

DOI10.1002/cpa.3160480402zbMath0845.57023OpenAlexW2045292456MaRDI QIDQ4837725

Alexander Nabutovsky

Publication date: 16 September 1996

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160480402

zbMATH Keywords

spheresembeddingsgeometric variational problemscirclesEuclidean spacesisotopies

Mathematics Subject Classification ID

Global differential geometry (53C99) Embeddings in differential topology (57R40)

Related Items

Geometric complexity of embeddings in \(\mathbb R^d\), Criticality for the Gehring link problem, Disconnectedness of sublevel sets of some Riemannian functionals, Geometry of the space of triangulations of a compact manifold, Balanced presentations of the trivial group and four-dimensional geometry, POLYGONAL KNOT SPACE NEAR ROPELENGTH-MINIMIZED KNOTS, How large isotopy is needed to connect homotopic diffeomorphisms (of 𝕋2), Local structure of ideal shapes of knots, Menger curvature as a knot energy, Complexity of unknotting of trivial 2-knots, Knot Tightening by Constrained Gradient Descent, Generalizations of the Kolmogorov-Barzdin embedding estimates, ERROR ANALYSIS OF THE MINIMUM DISTANCE ENERGY OF A POLYGONAL KNOT AND THE MÖBIUS ENERGY OF AN APPROXIMATING CURVE, Plato's cave and differential forms, Complexity classes as mathematical axioms, Sizes of spaces of triangulations of 4-manifold and balanced presentations of the trivial group, Nonuniform thickness and weighted distance, POLYGONAL APPROXIMATION AND ENERGY OF SMOOTH KNOTS, Thickness and crossing number of knots, Thickness of knots, Interpolation, the rudimentary geometry of spaces of Lipschitz functions, and geometric complexity, LOCAL STRUCTURE OF IDEAL KNOTS, II CONSTANT CURVATURE CASE

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