Research profile

Yoshinori Hashimoto

Works on homogeneous spaces and Ricci solitons.

NP-RC-265392

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Homogeneous spacesRicci solitons

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Their work in this field since 2021, 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.

2023

math.DGv3arXiv:2311.12469

A Hilbert–Mumford criterion for nilsolitons

Yoshinori Hashimoto

We give an algebraic criterion for a nilpotent real Lie algebra and prove that it provides a necessary and sufficient condition for the associated nilpotent Lie group to admit left-invariant Ricci solitons, called nilsolitons. As an application of this result, we generalise Nikolayevsky's criterion for the existence of nilsolitons to nilpotent Lie algebras without nice bases. We further prove a modified version of the Taketomi–Tamaru conjecture for nilpotent Lie groups which gives an obstruction to the existence of nilsolitons.

Ricci solitonsHomogeneous spaces
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NP-RC-265392 is Yoshinori Hashimoto'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.

A window on one part of a person's work: papers here go back to 2021 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.