Chord-arc constants for submanifolds of arbitrary codimension

DOI10.1515/ACV.2009.011zbMath1183.53008MaRDI QIDQ5191049

Simon Blatt

Publication date: 28 July 2009

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

submanifoldsBMO normlocal doubling propertychord-arc constantglobally \(\delta\)-Reifenberg flatSemmes constants

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (2)

Tangent-point repulsive potentials for a class of non-smooth \(m\)-dimensional sets in \(\mathbb R^n\). I: smoothing and self-avoidance effects ⋮ Small-constant uniform rectifiability

Cites Work

• Bi-Lipschitz parameterization of surfaces
• Inequalities of John-Nirenberg type in doubling spaces

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