Paper · Nov 17, 2017
Real hypersurfaces with -Ricci solitons of non-flat complex space forms
As on arXiv
Abstract
Kaimakamis and Panagiotidou in introduced the notion of -Ricci soliton and studied the real hypersurfaces of a non-flat complex space form admitting a -Ricci soliton whose potential vector field is the structure vector field. In this article, we consider that a real hypersurface of a non-flat complex space form admits a -Ricci soliton whose potential vector field belongs to the principal curvature space and the holomorphic distribution.
- Submitted
- Nov 17, 2017
- Subjects
- math.DG
- Journal
- Tokyo Journal of Mathematics, 2018
Comments: accepted by Tokyo Journal of Mathematics
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Read around it
Background reading
The guides for the topics of this paper: what each idea is, why it matters, and the papers to read first.
In the guidebook
- 11A.11Hamilton’s 1982 Theorem
Positive Ricci curvature in dimension 3 flows to a round metric.
- 11B.1Ricci Solitons
Self-similar solutions: the Gaussian, cylinders, the cigar and the Bryant soliton.
- 12B.2The Asymptotic Soliton and Three-Dimensional Shrinkers
Perelman's Proposition 11.2 proved with Morgan and Tian: the reduced-length bounds on κ-solutions, the limit of rescalings, the equality case, and the classification of shrinking solitons in dimensions two and three.