*-Ricci solitons of real hypersurfaces in non-flat complex space forms
Reads0
Chats0
TLDR
In this paper, the notion of *-Ricci soliton is introduced and real hypersurfaces in non-flat complex space forms admitting a *-ricci s soliton with potential vector field being the structure vector field.About:
This article is published in Journal of Geometry and Physics.The article was published on 2014-12-01 and is currently open access. It has received 53 citations till now. The article focuses on the topics: Ricci flow & Ricci curvature.read more
Citations
More filters
Journal ArticleDOI
∗-Ricci Soliton within the frame-work of Sasakian and (κ,μ)-contact manifold
TL;DR: In this article, it was shown that if a complete Sasakian metric is an almost gradient ∗-Ricci soliton, then it is either positive or null-Sakian.
Journal ArticleDOI
∗-η-Ricci Soliton within the Framework of Sasakian Manifold
Santu Dey,Soumendu Roy +1 more
TL;DR: In this paper, the authors studied ∗-η-Ricci soliton on Sasakian manifolds and obtained some significant curvature properties on the manifold admitting the soliton.
Journal ArticleDOI
*-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds
TL;DR: In this article, it was shown that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is strict infinitesimal contact transformation.
Journal ArticleDOI
Contact 3-manifolds and $*$-Ricci soliton
TL;DR: In this article, it was shown that the Ricci soliton of a 3-dimensional Kenmotsu manifold is locally isometric to the hyperbolic 3-space and the potential vector field coincides with the Reeb vector field.
Journal ArticleDOI
Para-Sasakian manifolds and $$*$$ ∗ -Ricci solitons
TL;DR: In this article, it was shown that if the Ricci tensor of a manifold is a Ricci soliton on a manifold M, then M is either a homothetic to an Einstein manifold or vanishes.
References
More filters
Journal ArticleDOI
Ricci solitons and real hypersurfaces in a complex space form
Jong Taek Cho,Makoto Kimura +1 more
TL;DR: In this article, it was shown that a real hypersurface in a non-flat complex space form does not admit a Ricci soliton whose potential vector field is the Reeb vector field.
Journal ArticleDOI
Cohomogeneity one actions on noncompact symmetric spaces of rank one
Jurgen Berndt,Hiroshi Tamaru +1 more
TL;DR: In this article, all cohomogeneity one actions on the hyperbolic planes over the complex, quaternionic and Cayley numbers were classified up to orbit equivalence and partial results were obtained.
Posted Content
Cohomogeneity one actions on noncompact symmetric spaces of rank one
Jurgen Berndt,Hiroshi Tamaru +1 more
TL;DR: In this paper, the authors classify, up to orbit equivalence, all cohomogeneity one actions on the hyperbolic planes over the complex, quaternionic and Cayley numbers.
Journal ArticleDOI
Real Hypersurfaces of Complex Space Forms in Terms of Ricci $*$-Tensor
TL;DR: In this article, the authors classified the $*$-Einstein real hypersurfaces in complex space forms such that the structure vector is a principal curvature vector and the principal curvatures of the hypersurface can be computed with the K\"ahler metric.