Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-19T08:21:09.979Z Has data issue: false hasContentIssue false
  • English
  • Français

Hypersurfaces of extremal slope

Published online by Cambridge University Press:  12 July 2007

J. H. Rieger
J. H. Rieger
Affiliation:
Institut für Algebra und Geometrie, Martin-Luther-Universität Halle, D-06099 Halle, Germany ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

The hypersurface of extremal slope consists of extrema of the gradient magnitude along integral curves of the gradient vector field of a smooth function. We study the singularities, and other geometric features, of hypersurfaces of extremal slope associated with generic functions and with one-parameter families of functions representing generic solutions to the heat equation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 2 , April 2003 , pp. 449 - 465
Copyright
Copyright © Royal Society of Edinburgh 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)