Research profile

Robert Wolak

Works on sasakian & contact geometry and Ricci flow.

NP-RC-160492

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  1. Vladimir Rovenski

    1 joint worklatest 2019

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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.

2019

math.DGv4arXiv:1905.07704

The Partial Ricci Flow on -foliations

Vladimir Rovenski, Robert Wolak

In the paper we introduce new metric structures on -foliations that are less rigid than the well-known structures: almost contact and 3-quasi-Sasakian structures as well as -structures with parallelizable kernel and almost para--structures with complemented frames. We discuss the properties of the new structures in order to demonstrate similarities with the corresponding classical structures. Then using the flow of metrics on a -foliation, we build deformation retraction of our structures with positive partial Ricci curvature onto the subspace of the aforementioned classical structures.

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NP-RC-160492 is Robert Wolak'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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