Path components of the space of gradient vector fields on the two-dimensional disc

Piotr Bartłomiejczyk; Piotr Nowak-Przygodzki

doi:10.2478/s12175-013-0178-2

Open Access Published by De Gruyter December 29, 2013

Path components of the space of gradient vector fields on the two-dimensional disc

Piotr Bartłomiejczyk and Piotr Nowak-Przygodzki

From the journal Mathematica Slovaca

https://doi.org/10.2478/s12175-013-0178-2

Abstract

We present a short proof that if two gradient maps on the two-dimensional disc have the same degree, then they are gradient homotopic.

MSC: Primary 55Q05; Secondary 37B35

Keywords: homotopy; gradient map; degree theory

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Published Online: 2013-12-29

Published in Print: 2013-12-1

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Path components of the space of gradient vector fields on the two-dimensional disc

Abstract

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