Results 51 to 60 of about 279 (149)
On gradient Ricci solitons with symmetry [PDF]
Proceedings of the American Mathematical Society, 2009 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 cohomogeneity one group action. Many examples of cohomogeneity one gradient solitons have been constructed.
Petersen, Peter, Wylie, William
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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
$\eta$-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
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Topology of Kähler Ricci solitons
Journal of Differential Geometry, 2015 We prove that any shrinking Kahler Ricci soliton has only one end, and that any expanding Kahler Ricci soliton with proper potential has only one end.
Munteanu, Ovidiu, Wang, Jiaping
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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
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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
Differentiable Manifolds and Geometric Structures
MathematicsThis editorial presents 26 research articles published in the Special Issue entitled Differentiable Manifolds and Geometric Structures of the MDPI Mathematics journal, which covers a wide range of topics particularly from the geometry of (pseudo ...
Adara M. Blaga
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Geometric Characterizations of Riemann Solitons
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we find the geometric characterizations of Riemann solitons within the background of co‐Kähler manifolds admitting semisymmetric metric ζ‐connection. Let (g, V) be a Riemann soliton on a co‐Kähler manifold M admitting a semisymmetric metric ζ‐connection.
Abdul Haseeb +4 more
wiley +1 more source
Photoacoustics for Direct Light‐Guiding Inside Transparent and Scattering Media
Laser &Photonics Reviews, Volume 19, Issue 8, April 17, 2025.A novel method for guiding light in transparent and scattering media without external components is presented. A pulsed laser and absorptive material generate photoacoustic pressure waves within the medium, creating refractive index gradients for sub‐microsecond light guiding.
Pietro Ricci +3 more
wiley +1 more source
On the completeness of gradient Ricci solitons [PDF]
Proceedings of the American Mathematical Society, 2009 A gradient Ricci soliton is a triple ( M , g , f
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