Results 71 to 80 of about 807,926 (146)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper, we firstly establish a useful ODE relationship between R1(c) and V1(c) on the steady Ricci soliton. Based on this, we obtain a necessary and sufficient condition for some complete noncompact steady gradient Ricci solitons to have positive ...
Gao Xiang
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A Study of Hyperbolic Yamabe Solitons on Nonreductive Four‐Dimensional Homogeneous Manifolds
Journal of Mathematics, Volume 2026, Issue 1, 2026.The study of geometric structures on homogeneous pseudo‐Riemannian spaces (G/H, g) has long been an important area of research in differential geometry. Such spaces are characterized by the transitive action of a Lie group G, with the metric g being G‐invariant using mathematical operators.
Foued Aloui +4 more
wiley +1 more source
Eta-Ricci Solitons and Gradient Ricci Solitons On Nearly Kenmotsu Manifolds. [PDF]
, 2018 In this paper, we study Ricci solitons and gradient Ricci solitons on nearly Kenmotsu manifolds. After giving some basic definitions, we prove that in a nearly Kenmotsu manifold, if the metric g admits a Ricci soliton (g,v, ?) and V is pointwise ...
Aktan, N. +2 more
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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
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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On Bach-flat gradient shrinking Ricci solitons [PDF]
, 2012 In this paper, we classify n-dimensional (n>3) complete Bach-flat gradient shrinking Ricci solitons. More precisely, we prove that any 4-dimensional Bach-flat gradient shrinking Ricci soliton is either Einstein, or locally conformally flat hence a finite
Chen, Qiang +3 more
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INEQUALITIES FOR GRADIENT EINSTEIN AND RICCI SOLITONS [PDF]
, 2020 This short note concerns with two inequalities in the geo\-me\-try of gradient Einstein solitons $(g, f, \lambda )$ on a smooth manifold $M$. These inequalities provide some relationships between the curvature of the Riemannian metric $g$ and the ...
Blaga, Adara-Monica, Crasmareanu, Mircea
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Mabuchi Kähler solitons versus extremal Kähler metrics and beyond
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 692-710, March 2025.Abstract Using the Yau–Tian–Donaldson type correspondence for v$v$‐solitons established by Han–Li, we show that a smooth complex n$n$‐dimensional Fano variety admits a Mabuchi soliton provided it admits an extremal Kähler metric whose scalar curvature is strictly less than 2(n+1)$2(n+1)$.
Vestislav Apostolov +2 more
wiley +1 more source
Some New Characterizations of Trivial Ricci–Bourguignon Solitons
Journal of MathematicsA Ricci–Bourguignon soliton is a self-similar solution to the Ricci–Bourguignon flow equation, and a Ricci–Bourguignon soliton is called trivial if its potential field is zero or killing.
Hana Al-Sodais +4 more
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Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold
Karpatsʹkì Matematičnì Publìkacìï, 2019 First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding ...
A. Ghosh
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