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<title>Tatsuya Seko — Neckpinch</title><link>https://neckpinch.com/authors/tatsuya-seko/</link><description>New arXiv papers by Tatsuya Seko, from Neckpinch</description>
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<item><title>Classification of almost Yamabe solitons in Euclidean spaces</title><link>https://neckpinch.com/papers/1711.04428/</link><guid isPermaLink="false">arxiv:1711.04428</guid><pubDate>Mon, 13 Nov 2017 00:00:00 GMT</pubDate><description>Tatsuya Seko, Shun Maeta — In this paper, we completely classify almost Yamabe solitons on hypersurfaces in Euclidean spaces arisen from the position vector field. Some results of almost Yamabe solitons with a concurrent vector field and almost Yamabe solitons on submanifolds in Riemannian manifolds equipped with a concurrent vector field are also presented. Moreover, we classify complete Ricci solitons on minimal submanifolds in non-positively curved space forms. For almost Yamabe solitons, all of results in this paper can be applied to Yamabe solitons.</description><category>Ricci solitons</category><category>Almost &amp; η-Ricci solitons</category><category>Sphere theorems</category><category>Minimal &amp; CMC surfaces</category></item>
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