Sasakian metrics as generalized \(\eta\)-Ricci soliton

DOI10.1007/s10998-022-00462-wOpenAlexW4224436700MaRDI QIDQ2694913

Publication date: 4 April 2023

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-022-00462-w

zbMATH Keywords

Sasakian manifold Ricci soliton contact vector field \(\eta\)-Einstein contact metric manifold \(\eta\)-Ricci soliton generalized \(\eta\)-Ricci soliton

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Contact manifolds (general theory) (53D10)

Related Items (3)

Gradient generalized \(\eta\)-Ricci soliton and contact geometry ⋮ Rigidity of gradient generalized \(\eta\)-Ricci solitons ⋮ Almost *-η-Ricci soliton on three-dimensional trans-Sasakian manifolds

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Sasakian metric as a Ricci soliton and related results
Almost Ricci solitons and \(K\)-contact geometry
Certain contact metrics as Ricci almost solitons
Almost \(\eta\)-Ricci solitons in \((LCS)_n\)-manifolds
On infinitesimal conformal and projective transformations of normal contact spaces
On a differential equation characterizing a Riemannian structure of a manifold
Ricci solitons and real hypersurfaces in a complex space form
On \(\eta\)-Einstein Sasakian geometry
Certain results on \(K\)-contact and \((k, \mu )\)-contact manifolds
Note on infinitesimal transformations over contact manifolds
Addendum to our paper ``Conformal motion of contact manifolds with characteristic vector field in the \(k\)-nullity distribution
The large \(N\) limit of superconformal field theories and supergravity
Generalized Sasakian-space-forms
Ricci almost solitons and contact geometry
Homogeneous Ricci almost solitons
Compact almost Ricci solitons with constant scalar curvature are gradient
The topology of contact Riemannian manifolds
Sasakian manifolds with constant \(\phi\)-holomorphic sectional curvature
Certain conditions for a Riemannian manifold to be isometric with a sphere
Almost \(\eta \)-Ricci solitons on Kenmotsu manifolds
Einstein manifolds and contact geometry
Ricci almost solitons satisfying certain conditions on the potential vector field
Some characterizations for compact almost Ricci solitons
Generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds
CONTACT GEOMETRY AND RICCI SOLITONS
Ricci almost solitons
SASAKIAN 3-MANIFOLD AS A RICCI SOLITON REPRESENTS THE HEISENBERG GROUP
Riemannian geometry of contact and symplectic manifolds
η-Ricci solitons and almost η-Ricci solitons on para-Sasakian manifolds

This page was built for publication: Sasakian metrics as generalized \(\eta\)-Ricci soliton