Results 31 to 40 of about 826 (116)

ζ-Conformally Flat LP-Kenmotsu Manifolds and Ricci–Yamabe Solitons

Mathematics, 2022
In the present paper, we characterize m-dimensional ζ-conformally flat LP-Kenmotsu manifolds (briefly, (LPK)m) equipped with the Ricci–Yamabe solitons (RYS) and gradient Ricci–Yamabe solitons (GRYS).
Abdul Haseeb, Mohd Bilal, Sudhakar K. Chaubey, Abdullah Ali H. Ahmadini   +3 more
doaj   +1 more source

Asymptotic analysis for fourth order Paneitz equations with critical growth [PDF]

, 2011
We investigate fourth order Paneitz equations of critical growth in the case of $n$-dimensional closed conformally flat manifolds, $n \ge 5$. Such equations arise from conformal geometry and are modelized on the Einstein case of the geometric equation ...
Hebey, Emmanuel, Robert, Frédéric
core   +4 more sources

An Introduction to Conformal Ricci Flow [PDF]

, 2003
We introduce a variation of the classical Ricci flow equation that modifies the unit volume constraint of that equation to a scalar curvature constraint.
Anderson M, Andersson L Moncrief V, Arthur E Fischer, Aubin T, Aubin T, Berger M, DeTurck D, DeTurck D, Ebin D, Ebin D, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A Moncrief V, Fischer A Moncrief V M Flato R Kerner A Lichnerowicz, Hamilton R, Hamilton R, Hamilton R, Isenberg J, Lang S, Marsden J, Misner C W, Omori H, Palais R, Palais R, Palais R, Perelman G, Perelman G, Perelman G, Protter M, Schoen R, Taylor M, Thurston W, Wheeler J A, Wheeler J A, Ye R   +43 more
core   +1 more source

Triviality results for compact k-Yamabe solitons [PDF]

Journal of Mathematical Analysis and Applications, 2021
In this paper, we show that any compact gradient k-Yamabe soliton must have constant $ _k$-curvature. Moreover, we provide a certain condition for a compact k-Yamabe soliton to be gradient.
Willian Isao Tokura, Elismar Dias Batista   +1 more
openaire   +3 more sources

Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds

Mathematics, 2022
A Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric.
Mancho Manev
doaj   +1 more source

Some remarks on Yamabe solitons [PDF]

Asian-European Journal of Mathematics, 2019
The evolution of some geometric quantities on a compact Riemannian manifold [Formula: see text] whose metric is Yamabe soliton is discussed. Using these quantities, lower bound on the soliton constant is obtained. We discuss about commutator of soliton vector fields. Also, the condition of soliton vector field to be a geodesic vector field is obtained.
Chakraborty, Debabrata, Hui, Shyamal Kumar, Mandal, Yadab Chandra   +2 more
openaire   +3 more sources

Solitonic Aspect of Relativistic Magneto-Fluid Spacetime with Some Specific Vector Fields

Mathematics, 2023
The target of the current research article is to investigate the solitonic attributes of relativistic magneto-fluid spacetime (MFST) if its metrics are Ricci–Yamabe soliton (RY-soliton) and gradient Ricci–Yamabe soliton (GRY-soliton).
Mohd Danish Siddiqi, Fatemah Mofarreh, Sudhakar Kumar Chaubey   +2 more
doaj   +1 more source

Pairs of Associated Yamabe Almost Solitons with Vertical Potential on Almost Contact Complex Riemannian Manifolds

Mathematics, 2023
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are, in principle, equipped with a pair of mutually associated pseudo-Riemannian metrics. Each of these metrics is specialized as a Yamabe almost soliton with a
Mancho Manev
doaj   +1 more source

Some results on $\eta$-Yamabe solitons in 3-dimensional trans-Sasakian manifold

Karpatsʹkì Matematičnì Publìkacìï, 2022
The object of the present paper is to study some properties of 3-dimensional trans-Sasakian manifold whose metric is $\eta$-Yamabe soliton. We have studied here some certain curvature conditions of 3-dimensional trans-Sasakian manifold admitting $\eta ...
S. Roy, S. Dey, A. Bhattacharyya
doaj   +1 more source

Yamabe Solitons on Conformal Almost-Contact Complex Riemannian Manifolds with Vertical Torse-Forming Vector Field

Axioms, 2023
A Yamabe soliton is considered on an almost-contact complex Riemannian manifold (also known as an almost-contact B-metric manifold), which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric ...
Mancho Manev
doaj   +1 more source