Research profile

Valentyna Petrusenko

Works on Einstein metrics and Ricci flow.

NP-RC-7193860000-0003-3120-9379

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Einstein metricsRicci flow

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  1. Kaveh Eftekharinasab

    1 joint worklatest 2020

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2020

math.DGarXiv:2007.13832

Finslerian geodesics on Fréchet manifolds

Kaveh Eftekharinasab, Valentyna Petrusenko

We establish a framework, namely, nuclear bounded Fréchet manifolds endowed with Riemann-Finsler structures to study geodesic curves on certain infinite dimensional manifolds such as the manifold of Riemannian metrics on a closed manifold. We prove on these manifolds geodesics exist locally and they are length minimizing in a sense. Moreover, we show that a curve on these manifolds is geodesic if and only if it satisfies a collection of Euler-Lagrange equations. As an application, without much difficulty, we prove that the solution to the Ricci flow on an Einstein manifold is not geodesic.

Ricci flowEinstein metrics
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NP-RC-719386 is Valentyna Petrusenko's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

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