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Sharp upper diameter bounds for compact shrinking Ricci solitons

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1 Published in 2020 at "Annals of Global Analysis and Geometry"

DOI: 10.1007/s10455-021-09764-7

Abstract: We give a sharp upper diameter bound for a compact shrinking Ricci soliton in terms of its scalar curvature integral and the Perelman's entropy functional. The sharp cases could occur at round spheres. The proof… read more here.

Keywords: compact shrinking; ricci solitons; shrinking ricci; upper diameter ... See more keywords

r-Almost Newton–Ricci solitons on Legendrian submanifolds of Sasakian space forms

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0 Published in 2021 at "Periodica Mathematica Hungarica"

DOI: 10.1007/s10998-021-00394-x

Abstract: We establish the geometrical bearing on Legendrian submanifolds of Sasakian space forms in terms of r-almost Newton–Ricci solitons (r-anrs) with the potential function $$\psi : M^{n} \rightarrow \mathcal {R}$$ . Also, we discuss the Legendrian… read more here.

Keywords: submanifolds sasakian; legendrian submanifolds; ricci solitons; sasakian space ... See more keywords

Ricci solitons in Sasakian manifold

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0 Published in 2017 at "Afrika Matematika"

DOI: 10.1007/s13370-017-0502-z

Abstract: Recently the present author introduced the notion of generalized quasi-conformal curvature tensor which bridges conformal curvature tensor, concircular curvature tensor, projective curvature tensor and conharmonic curvature tensor. The object of the present paper is to… read more here.

Keywords: ricci solitons; solitons sasakian; sasakian manifold; curvature tensor ... See more keywords

Remark on a lower diameter bound for compact shrinking Ricci solitons

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1 Published in 2019 at "Differential Geometry and its Applications"

DOI: 10.1016/j.difgeo.2019.06.005

Abstract: Abstract In this paper, inspired by Fernandez-Lopez and Garcia-Rio [11] , we shall give a new lower diameter bound for compact non-trivial shrinking Ricci solitons depending on the range of the potential function, as well… read more here.

Keywords: lower diameter; ricci solitons; shrinking ricci; bound compact ... See more keywords

Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants

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1 Published in 2022 at "Journal of Functional Analysis"

DOI: 10.1016/j.jfa.2022.109400

Abstract: We show that a Kähler-Ricci soliton on a Fano manifold can always be smoothly approximated by a sequence of relative anticanonically balanced metrics, also called quantized Kähler-Ricci solitons. The proof uses an equivariant version of… read more here.

Keywords: ricci solitons; quantized futaki; balanced metrics; hler ... See more keywords

On some rotationally symmetric gradient pseudo-Kähler-Ricci solitons

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0 Published in 2018 at "Acta Mathematica Scientia"

DOI: 10.1016/s0252-9602(17)30131-5

Abstract: Abstract In this paper, we explicitly construct some rotationally symmetric gradient pseudo-Kahler-Ricci solitons which depend on some parameters, on some line bundles and other bundles over projective spaces. We also discuss the “phase change” phenomenon… read more here.

Keywords: ricci solitons; symmetric gradient; gradient pseudo; rotationally symmetric ... See more keywords

Algebraic Ricci solitons on metric Lie groups with zero Schouten–Weyl tensor

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1 Published in 2017 at "Doklady Mathematics"

DOI: 10.1134/s1064562417010197

Abstract: Algebraic Ricci solitons on Lie groups with left-invariant (pseudo)Riemannian metric and zero Schouten–Weyl tensor are studied. The absence of nontrivial algebraic Ricci solitons on metric Lie groups with zero Schouten–Weyl tensor and diagonalizable Ricci operator… read more here.

Keywords: algebraic ricci; weyl tensor; ricci solitons; schouten weyl ... See more keywords

Ricci solitons on almost Kenmotsu 3-manifolds

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0 Published in 2017 at "Open Mathematics"

DOI: 10.1515/math-2017-0103

Abstract: Abstract Let (M3, g) be an almost Kenmotsu 3-manifold such that the Reeb vector field is an eigenvector field of the Ricci operator. In this paper, we prove that if g represents a Ricci soliton… read more here.

Keywords: ricci solitons; field; almost kenmotsu; vector field ... See more keywords

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

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0 Published in 2019 at "Mathematica Slovaca"

DOI: 10.1515/ms-2017-0321

Abstract: 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… read more here.

Keywords: gradient almost; ricci solitons; soliton; almost ricci ... See more keywords

Biconformal equivalence between 3-dimensional Ricci solitons

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1 Published in 2021 at "Tohoku Mathematical Journal"

DOI: 10.2748/tmj.20200428

Abstract: Biconformal deformations in the presence of a conformal foliation by curves are exploited to study equivalence between 3-dimensional Ricci solitons. We show that a wide class of solitons are biconformally equivalent to the flat metric. read more here.

Keywords: equivalence dimensional; biconformal equivalence; dimensional ricci; ricci solitons ... See more keywords

Certain Curvature Conditions on Kenmotsu Manifolds and ★-η;-Ricci Solitons

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0 Published in 2023 at "Axioms"

DOI: 10.3390/axioms12020140

Abstract: The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with 🟉-η-Ricci solitons. First we find some necessary conditions for such a manifold to be φ-Einstein. Then, we study… read more here.

Keywords: curvature conditions; manifolds ricci; conditions kenmotsu; ricci solitons ... See more keywords