A maximal element of a moduli space of Riemannian metrics

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Note (General)：: 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 sp...

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Material Type: 文書・図像類
Title: A maximal element of a moduli space of Riemannian metrics
Author/Editor: Taketomi, Yuichiro
Author Heading: Taketomi, Yuichiro
Publication, Distribution, etc.: OCAMI
Publication Date: 2022-10-03
Publication Date (W3CDTF): 2022-10-03
Periodical title: OCAMI Preprint Series
No. or year of volume/issue: 22 09
Volume: 22
Issue: 09
Pages: 1-23
Text Language Code: eng
Target Audience: 一般
Note (General): 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.
Access Restrictions: 限定公開
Rights (production): This is a pre-print version.
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 大阪市立大学 : 大阪市立大学学術機関リポジトリ