A quasisymmetric surface with no rectifiable curves

Christopher J. Bishop

doi:10.1090/s0002-9939-99-04900-x

A quasisymmetric surface with no rectifiable curves

Christopher J. Bishop

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

There is a quasiconformal mapping f of ℝ³ to itself such that the image of ℝ² × {0} contains no rectifiable curves.

Original language	English
Pages (from-to)	2035-2040
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	127
Issue number	7
DOIs	https://doi.org/10.1090/s0002-9939-99-04900-x
State	Published - 1999

Keywords

Jacobian
Quasiconformal mappings
Quasisymmetric maps
Rectifiable curves

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10.1090/s0002-9939-99-04900-x

Cite this

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title = "A quasisymmetric surface with no rectifiable curves",

abstract = "There is a quasiconformal mapping f of ℝ3 to itself such that the image of ℝ2 × \{0\} contains no rectifiable curves.",

keywords = "Jacobian, Quasiconformal mappings, Quasisymmetric maps, Rectifiable curves",

author = "Bishop, \{Christopher J.\}",

year = "1999",

doi = "10.1090/s0002-9939-99-04900-x",

language = "English",

volume = "127",

pages = "2035--2040",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

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AU - Bishop, Christopher J.

PY - 1999

Y1 - 1999

N2 - There is a quasiconformal mapping f of ℝ3 to itself such that the image of ℝ2 × {0} contains no rectifiable curves.

AB - There is a quasiconformal mapping f of ℝ3 to itself such that the image of ℝ2 × {0} contains no rectifiable curves.

KW - Jacobian

KW - Quasiconformal mappings

KW - Quasisymmetric maps

KW - Rectifiable curves

UR - https://www.scopus.com/pages/publications/23944457241

U2 - 10.1090/s0002-9939-99-04900-x

DO - 10.1090/s0002-9939-99-04900-x

M3 - Article

AN - SCOPUS:23944457241

SN - 0002-9939

VL - 127

SP - 2035

EP - 2040

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 7

ER -

A quasisymmetric surface with no rectifiable curves

Abstract

Keywords

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