A note on gradient Solitons on two classes of almost Kenmotsu Manifolds

@article{De2021ANO,
  title={A note on gradient Solitons on two classes of almost Kenmotsu Manifolds},
  author={Krishnendu De and Uday Chand De},
  journal={International Journal of Geometric Methods in Modern Physics},
  year={2021}
}
  • K. DeU. De
  • Published 27 August 2021
  • Mathematics
  • International Journal of Geometric Methods in Modern Physics
. The purpose of the article is to characterize gradient ( m,ρ ) - quasi Einstein solitons within the framework of two classes of almost Kenmotsu Manifolds. Finally, we consider an example to justify a result of our paper. 

References

SHOWING 1-10 OF 19 REFERENCES

A Schur-type theorem for CR-integrable almost Kenmotsu manifolds

Abstract In this paper, we mainly investigate a necessary and sufficient condition for a CR-integrable almost Kenmotsu manifold with a condition of strong η-parallelism to have pointwise constant

Almost Kenmotsu Manifolds and Nullity Distributions

Abstract.We characterize almost contact metric manifolds which are CR-integrable almost Kenmotsu, through the existence of a suitable linear connection. We classify almost Kenmotsu manifolds

GRADIENT RICCI ALMOST SOLITONS ON TWO CLASSES OF ALMOST KENMOTSU MANIFOLDS

. Let ( M 2 n +1 ,φ,ξ,η,g ) be a ( k,µ ) ′ -almost Kenmotsu manifold with k < − 1 which admits a gradient Ricci almost soliton ( g,f,λ ), where λ is the soliton function and f is the potential

Conformally Flat Almost Kenmotsu 3-Manifolds

In this paper, by virtue of a system of partial differential equations, we give a necessary and sufficient condition for an almost Kenmotsu 3-manifold to be conformally flat. As an application, we

On Gradient Ricci Solitons with Symmetry

We study gradient Ricci solitons with maximal symmetry. First we show that there are no nontrivial homogeneous gradient Ricci solitons. Thus, the most symmetry one can expect is an isometric

∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds

Abstract In this paper, we consider *-Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if (M, g) is a Kenmotsu manifold and g is a *-Ricci soliton, then soliton constant λ

Contact metric manifolds satisfying a nullity condition

This paper presents a study of contact metric manifolds for which the characteristic vector field of the contact structure satisfies a nullity type condition, condition (*) below. There are a number

Comparison geometry for the Bakry-Emery Ricci tensor

For Riemannian manifolds with a measure (M, g, edvolg) we prove mean curvature and volume comparison results when the ∞-Bakry-Emery Ricci tensor is bounded from below and f is bounded or ∂rf is

Cyclic-parallel Ricci tensors on a class of almost Kenmotsu 3-manifolds

  • Yaning WangX. Dai
  • Mathematics
    International Journal of Geometric Methods in Modern Physics
  • 2019
In this paper, we give a local characterization for the Ricci tensor of an almost Kenmotsu [Formula: see text]-manifold [Formula: see text] to be cyclic-parallel. As an application, we prove that if

Almost Kenmotsu $$(k,\mu )'$$-manifolds with Yamabe solitons

  • Yaning Wang
  • Mathematics
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
  • 2020
Let $$(M^{2n+1},\phi ,\xi ,\eta ,g)$$ be a non-Kenmotsu almost Kenmotsu $$(k,\mu )'$$ -manifold. If the metric g represents a Yamabe soliton, then either $$M^{2n+1}$$ is locally isometric to