日本語フィールド
著者：Takahiro Hashinaga; Hiroshi Tamaru題名：Three-dimensional solvsolitons and the minimality of the corresponding submanifolds発表情報：INTERNATIONAL JOURNAL OF MATHEMATICS 巻: 28 号: 6 ページ: 31 ppキーワード：概要：In this paper, we define the corresponding submanifolds to left-invariant Riemannian metrics on Lie groups, and study the following question: does a distinguished left-invariant Riemannian metric on a Lie group correspond to a distinguished submanifold? As a result, we prove that the solvsolitons on three-dimensional simply-connected solvable Lie groups are completely characterized by the minimality of the corresponding submanifolds.抄録：英語フィールド
Author：Takahiro Hashinaga; Hiroshi TamaruTitle：Three-dimensional solvsolitons and the minimality of the corresponding submanifoldsAnnouncement information:INTERNATIONAL JOURNAL OF MATHEMATICS Vol: 28 Issue: 6 Page: 31 ppAn abstract：In this paper, we define the corresponding submanifolds to left-invariant Riemannian metrics on Lie groups, and study the following question: does a distinguished left-invariant Riemannian metric on a Lie group correspond to a distinguished submanifold? As a result, we prove that the solvsolitons on three-dimensional simply-connected solvable Lie groups are completely characterized by the minimality of the corresponding submanifolds.