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Hypersurfaces of extremal slope

  • J. H. Rieger (a1)

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.

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Hypersurfaces of extremal slope

  • J. H. Rieger (a1)

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