Yuichiro Taketomi — Neckpinchhttps://neckpinch.com/authors/yuichiro-taketomi/New arXiv papers by Yuichiro Taketomi, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT A maximal element of a moduli space of Riemannian metricshttps://neckpinch.com/papers/2210.01483/arxiv:2210.01483Tue, 04 Oct 2022 00:00:00 GMTYuichiro Taketomi — For a given smooth manifold, we consider the moduli space of Riemannian metrics up to isometry and scaling. One can define a preorder on the moduli space by the size of isometry groups. We call a Riemannian metric that attains a maximal element with respect to the preorder a maximal metric. Maximal metrics give nice examples of self-similar solutions for various metric evolution equations such as the Ricci flow. In this paper, we construct many examples of maximal metrics on Euclidean spaces.Ricci flow