Open AccessPosted Content
Almost Ricci-like solitons with torse-forming vertical potential on almost contact B-metric manifolds
Reads0
Chats0
TLDR
In this article, almost Ricci-like solitons on almost contact B-metric manifolds with torse-forming potential have been studied and necessary and sufficient conditions have been found for a number of properties of the curvature tensor and its Ricci tensor.Abstract:
Almost Ricci-like solitons on almost contact B-metric manifolds with torse-forming potential have been studied. The case in which this potential is further vertical is considered, i.e. the potential is pointwise collinear to the Reeb vector field. The conditions under which the investigated manifolds with almost Ricci-like solitons are equivalent to almost Einstein-like manifolds have been established. In this case, necessary and sufficient conditions have been found for a number of properties of the curvature tensor and its Ricci tensor. Then some results are obtained for a parallel symmetric second-order covariant tensor on the manifolds under study. Finally, an explicit example of an arbitrary dimension is given and some of the results are illustrated.read more
Citations
More filters
Journal ArticleDOI
Pairs of Associated Yamabe Almost Solitons with Vertical Potential on Almost Contact Complex Riemannian Manifolds
TL;DR: In this paper , Yamabe almost solitons with a potential collinear to the Reeb vector field are investigated in two important cases with geometric significance: the first is when the manifold is of Sasaki-like type, i.e., its complex cone is a holomorphic complex Riemannian manifold (also called a Kähler-Norden manifold).
References
More filters
Journal ArticleDOI
Three-manifolds with positive Ricci curvature
Book
Hamilton's Ricci Flow
Bennett Chow,Peng Lu,Lei Ni +2 more
TL;DR: Riemannian geometry and singularity analysis of Ricci flow have been studied in this paper, where Ricci solitons and special solutions have been used for geometric flows.
Related Papers (5)
Three- and Four-Dimensional Einstein-like Manifolds and Homogeneity
Peter Bueken,Lieven Vanhecke +1 more