Evolutions of $S^3$ and $\mathbb{R}P^3$ that describe Eguchi-Hanson metric and metrics of constant curvature

Evgeny G. Malkovich

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arXiv · 1411.4234

Evolutions of $S^3$ and $\mathbb{R}P^3$ that describe Eguchi-Hanson metric and metrics of constant curvature

Evgeny G. Malkovich

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Abstract

In this work we illustrate some well-known facts about the evolution of $S^3$ under the Ricci flow. The Dirac flow we introduce allows us to describe the 4- dimensional metrics with constant curvature. Another new flow leads to the Eguchi-Hanson metric and can be defined either on metric or on corresponding contact forms.

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BibTeX RIS

Evgeny G. Malkovich. 2014-11-16. Evolutions of $S^3$ and $\mathbb{R}P^3$ that describe Eguchi-Hanson metric and metrics of constant curvature. https://arxiv.org/abs/1411.4234

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