The centro-affine invariant geometric heat flow

The centro-affine invariant geometric heat flow In this paper, a centro-affine invariant curve evolution process is pre-sented, and the centro-affine geometric heat flow is introduced. It is shown that the original symmetric solution of the flow shrinks to a point in finite time and converges smoothly to an ellipse after suitable normalization. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

The centro-affine invariant geometric heat flow

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Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2017 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
D.O.I.
10.1007/s00209-017-1890-3
Publisher site
See Article on Publisher Site

Abstract

In this paper, a centro-affine invariant curve evolution process is pre-sented, and the centro-affine geometric heat flow is introduced. It is shown that the original symmetric solution of the flow shrinks to a point in finite time and converges smoothly to an ellipse after suitable normalization.

Journal

Mathematische ZeitschriftSpringer Journals

Published: May 9, 2017

References

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