Results 51 to 60 of about 1,131 (182)
Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work focuses on LP‐Sasakian manifolds endowed with generalized Z‐solitons constructed with respect to an arbitrary affine connection. To conclude, we provide an explicit and nontrivial example in the four‐dimensional case, thereby establishing the realization of such solitons on LP‐Sasakian manifolds.
Shahroud Azami +2 more
wiley +1 more source
Convergence of Compact Ricci Solitons [PDF]
International Mathematics Research Notices, 2010 We show that sequences of compact gradient Ricci solitons converge to complete orbifold gradient solitons, assuming constraints on volume, the $L^{n/2}$-norm of curvature, and the auxiliary constant $C_1$. The strongest results are in dimension 4, where $L^2$ curvature bounds are equivalent to upper bounds on the Euler number.
openaire +2 more sources
About Uniqueness of Steady Ricci Schwarzschild Solitons
AxiomsIn this paper, the uniqueness of steady Schwarzschild gradient Ricci solitons is studied. The role of the weight functions is analyzed. The generalized steady Schwarzschild gradient Ricci solitons are investigated; the implications of the rotational ...
Orchidea Maria Lecian
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the geometric properties of η‐Ricci–Bourguignon (η‐RB) solitons on para‐Sasakian manifolds equipped with a semisymmetric nonmetric connection (SSNMC). By employing the complete lift on the tangent bundle, we derive curvature relations, Ricci identities, Ricci flow, and the corresponding η‐RB soliton equations for the ...
Lalnunenga Colney +4 more
wiley +1 more source
Ricci Solitons and Gradient Ricci Solitons in an LP-Sasakian Manifold [PDF]
, 2014 The object of the present paper is to study an LP-Sasakian manifold admitting Ricci solitons and gradient Ricci ...
mondal, abul kalam
core
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney +3 more
wiley +1 more source
European Physical Journal C: Particles and FieldsThe principal objective of the present paper is to characterize certain properties of three-dimensional homothetic hyperbolic Kenmotsu manifolds (HHKM) with conformal Ricci solitons.
Avijit Sarkar +2 more
doaj +1 more source
$\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection
Ratio MathematicaThe objective of this paper is to investigate the $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying certain curvature conditions.
Abhishek Singh +2 more
doaj +1 more source
CuboIn this research article, we study \(\ast\)-\(\eta\)-Ricci-Yamabe solitons on an \(\alpha\)-cosymplectic manifold by giving an example in the support and also prove that it is an \(\eta\)-Einstein manifold.
Vandana +2 more
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan +3 more
wiley +1 more source