Results 41 to 50 of about 91 (89)

The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure

open access: yesAdvances in Mathematical Physics, Volume 2024, Issue 1, 2024.
A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav   +4 more
wiley   +1 more source

A Study on Contact Metric Manifolds Admitting a Type of Solitons

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
The principal aim of the present article is to characterize certain properties of η‐Ricci–Bourguignon solitons on three types of contact manifolds, that are K‐contact manifolds, (κ, μ)‐contact metric manifolds, and N(κ)‐contact metric manifolds. It is shown that if a K‐contact manifold admits an η‐Ricci–Bourguignon soliton whose potential vector field ...
Tarak Mandal   +4 more
wiley   +1 more source

Almost Ricci Solitons on Finsler Spaces

open access: yesThe Journal of Geometric Analysis
In this paper, (gradient) almost Ricci solitons on Finsler measure spaces $(M, F, m)$ are introduced and investigated. We prove that $(M, F, m)$ is a gradient almost Ricci soliton if and only if the infinity-Ricci curvature Ric$_\infty$ is a scalar function on $M$ when $M$ is compact.
openaire   +3 more sources

Ricci almost solitons: complete examples

open access: yes
We construct new examples of various solitons as warped products. There are classes of complete Ricci almost solitons and complete Ricci-Bourguignon solitons that can be explicitly described in terms of elementary functions.
Kühnel, Wolfgang, Rademacher, Hans-Bert
openaire   +2 more sources

Characterizations of *-Ricci-Bourguignon solitons and contact Ricci-Bourguignon almost solitons

open access: yesQuaestiones Mathematicae
In this paper, we first study *-Ricci-Bourguignon solitons (in short, *-RB solitons) and find their geometric characterizations on Sasakian manifolds. We show that if a Sasakian metric g admits a non-trivial *-RB soliton, then it is -homothetically fixed null η-Einstein (transverse Calabi-Yau), and moreover, the soliton vector field is a non-strict ...
Nayak, Sourav   +2 more
openaire   +1 more source

Evolutionary dynamics of transposable elements in bdelloid rotifers. [PDF]

open access: yesElife, 2021
Nowell RW   +8 more
europepmc   +1 more source

A nongradient Ricci almost soliton

open access: yes
In this note, we present a construction method and an explicit example of nongradient (expanding or indefinite) Ricci almost soliton in a warped product. Moreover, we show a rigidity result for the Gaussian soliton.
openaire   +2 more sources

ALMOST YAMABE SOLITON AND ALMOST RICCI-BOURGUIGNON SOLITON WITH GEODESIC VECTOR FIELDS

open access: yesMatematički Vesnik
Summary: The aim of this paper is to prove some results about almost Yamabe soliton and almost Ricci-Bourguignon soliton with special soliton vector field. In fact, we prove that every compact non-trivial almost Ricci-Bourguignon soliton with constant scalar curvature is isometric to a Euclidean sphere.
openaire   +2 more sources

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