Research profile

John Ross

Works on self-shrinkers & translators and mean curvature flow.

NP-RC-5266020000-0001-7906-3351

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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.

2017

math.DGWider flowsarXiv:1709.05020

On the Existence of a Closed, Embedded, Rotational -Hypersurface

John Ross

In this paper we show the existence of a closed, embedded -hypersurfaces . The hypersurface is diffeomorhic to and exhibits symmetry. Our approach uses a "shooting method" similar to the approach used by McGrath in constructing a generalized self-shrinking torus solution to mean curvature flow. The result generalizes the -torus found by Cheng and Wei.

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