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著者：Jong Taek Cho; Takahiro Hashinaga; Akira Kubo; Yuichiro Taketomi; Hiroshi Tamaru題名：Realizations of some contact metric manifolds as Ricci soliton real hypersurfaces発表情報：JOURNAL OF GEOMETRY AND PHYSICS 巻: 123 ページ: 221 - 234キーワード：概要：Ricci soliton contact metric manifolds with certain nullity conditions have recently been studied by Ghosh and Sharma. Whereas the gradient case is well-understood, they provided a list of candidates for the nongradient case. These candidates can be realized as Lie groups, but one only knows the structures of the underlying Lie algebras, which are hard to be analyzed apart from the three-dimensional case. In this paper, we study these Lie groups with dimension greater than three, and prove that the connected, simply-connected, and complete ones can be realized as homogeneous real hypersurfaces in noncompact real two-plane Grassmannians. These realizations enable us to prove, in a Lie-theoretic way, that all of them are actually Ricci soliton. (C) 2017 Elsevier B.V. All rights reserved.抄録：英語フィールド
Author：Jong Taek Cho; Takahiro Hashinaga; Akira Kubo; Yuichiro Taketomi; Hiroshi TamaruTitle：Realizations of some contact metric manifolds as Ricci soliton real hypersurfacesAnnouncement information:JOURNAL OF GEOMETRY AND PHYSICS Vol: 123 Page: 221 - 234An abstract：Ricci soliton contact metric manifolds with certain nullity conditions have recently been studied by Ghosh and Sharma. Whereas the gradient case is well-understood, they provided a list of candidates for the nongradient case. These candidates can be realized as Lie groups, but one only knows the structures of the underlying Lie algebras, which are hard to be analyzed apart from the three-dimensional case. In this paper, we study these Lie groups with dimension greater than three, and prove that the connected, simply-connected, and complete ones can be realized as homogeneous real hypersurfaces in noncompact real two-plane Grassmannians. These realizations enable us to prove, in a Lie-theoretic way, that all of them are actually Ricci soliton. (C) 2017 Elsevier B.V. All rights reserved.