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Notes on Gromov's systolic estimate

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Publication:884774
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DOI10.1007/s10711-006-9111-yzbMath1125.53028OpenAlexW2018499702MaRDI QIDQ884774

Lawrence Guth

Publication date: 7 June 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-006-9111-y


zbMATH Keywords

isoperimetric inequalityfilling radiussystole


Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)


Related Items (9)

Regular geometric cycles ⋮ Isometric embeddings in imaging and vision: facts and fiction ⋮ Volumes of balls in Riemannian manifolds and Uryson width ⋮ Bi-Lipschitz approximation by finite-dimensional imbeddings ⋮ Filling inequalities do not depend on topology ⋮ Generalizations of the Kolmogorov-Barzdin embedding estimates ⋮ Systole and inradius of noncompact hyperbolic manifolds ⋮ A Dozen Problems, Questions and Conjectures About Positive Scalar Curvature ⋮ The filling problem in the cube



Cites Work

  • Filling Riemannian manifolds
  • Normal and integral currents
  • Sobolev and mean‐value inequalities on generalized submanifolds of Rn
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