2018年1月
Realizations of some contact metric manifolds as Ricci soliton real hypersurfaces
JOURNAL OF GEOMETRY AND PHYSICS
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- 巻
- 123
- 号
- 開始ページ
- 221
- 終了ページ
- 234
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.geomphys.2017.08.013
- 出版者・発行元
- ELSEVIER SCIENCE BV
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.
- リンク情報
- ID情報
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- DOI : 10.1016/j.geomphys.2017.08.013
- ISSN : 0393-0440
- eISSN : 1879-1662
- Web of Science ID : WOS:000418211100012