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Energy of knots and conformal geometry

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Published by World Scientific Pub. in River Edge, NJ .
Written in English

Subjects:

  • Knot theory,
  • Conformal geometry

Book details:

Edition Notes

Includes bibliographical references and index.

StatementJun O"Hara.
SeriesK & E series on knots and everything ;, v. 33
Classifications
LC ClassificationsQA612.2 .O36 2003
The Physical Object
Paginationp. cm.
ID Numbers
Open LibraryOL3682584M
ISBN 109812383166
LC Control Number2003041104

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Get this from a library! Energy of knots and conformal geometry. [Jun O'Hara] -- Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot - a beautiful knot which represents its knot type. This book introduces several kinds of energies, and. Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot – a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of . Energy of Knots and Conformal Geometry Jun O'Hara This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of a knot in each knot type. It also considers this problems in the context of conformal geometry. The energies presented in the book are defined geometrically. Errata and Comments for “Energy of knots and conformal geometry” Jun O’Hara Department of Mathematics, Tokyo Metropolitan University e-mail: [email protected] May 2, Abstract This article serves as errata of the book “Energy of knots and conformal geometry”, Series on Knots and Everthing Vol.

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This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of a knot in each knot type. It also considers this problems in the context of conformal geometry. The energies presented in the book are defined geometrically. This article serves as errata of the book "Energy of knots and conformal geometry", Series on Knots and Everything Vol. 33, World Scientific, Singapore, pages, (). (ver. 27/05/) Associated Articles. Energy of knots and conformal geometry J. O’Hara Department of Mathematics, Tokyo Metropolitan University December 8, Key words: knot, energy, conformal geometry, cross ratio Just like a minimal surface is modeled on the “optimal surface” of a soap film with a given boundary curve, one can ask whether we can define an “optimal Cited by: Energy of knots, Æ. Generalization of electrostatic energy of charged knots. Introduced to produce an “optimal knot” for each knot type (half failed). Æ is invariant under Möbius transformations. Conformal geometry (Joint work with R. Langevin). Infinitesimal cross ratio, which is a conformally invariant complex valued-form on. ÆAuthor: Jun O'Hara.