Results 81 to 90 of about 807,926 (146)

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   +1 more source

All two‐dimensional expanding Ricci solitons

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract The second author and H. Yin [Ars Inveniendi Analytica. DOI 10.15781/4x5c-9q97] have developed a Ricci flow existence theory that gives a complete Ricci flow starting with a surface equipped with a conformal structure and a non‐atomic Radon measure as a volume measure. This led to the discovery of a large array of new expanding Ricci solitons.
Luke T. Peachey, Peter M. Topping
wiley   +1 more source

Bach-flat gradient steady Ricci solitons [PDF]

, 2011
In this paper we prove that any $n$-dimensional ($n\ge 4$) complete Bach-flat gradient steady Ricci soliton with positive Ricci curvature is isometric to the Bryant soliton.
Chen, Qiang, Cao, Huai-Dong, Mantegazza, Carlo, Catino, Giovanni, Mazzieri, Lorenzo   +4 more
core   +1 more source

Rigidity and Triviality of Gradient r-Almost Newton-Ricci-Yamabe Solitons

Mathematics
In this paper, we develop the concept of gradient r-Almost Newton-Ricci-Yamabe solitons (in brief, gradient r-ANRY solitons) immersed in a Riemannian manifold.
Mohd Danish Siddiqi, Fatemah Mofarreh
doaj   +1 more source

Riemann Solitons on Homogeneous Siklos Spacetimes

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we investigate the properties of Riemann solitons on homogeneous Siklos spacetimes. Siklos spacetimes, which are special solutions to Einstein’s equations with a wave‐like potential, provide a suitable setting for studying the geometric properties of Riemann solitons.
Mehdi Jafari, Amirhesam Zaeim, Adele Alemahdi, Erhan Güler   +3 more
wiley   +1 more source

Exploring Conformal Soliton Structures in Tangent Bundles with Ricci-Quarter Symmetric Metric Connections

Mathematics
In this study, we investigate the tangent bundle TM of an n-dimensional (pseudo-)Riemannian manifold M equipped with a Ricci-quarter symmetric metric connection ∇˜.
Yanlin Li, Aydin Gezer, Erkan Karakas
doaj   +1 more source

Conformally Flat Siklos Metrics Are Ricci Solitons

Axioms, 2020
We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.
Giovanni Calvaruso
doaj   +1 more source

Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons

Heliyon
In this article, we examine gradient type Ricci solitons and (m,τ)-quasi Einstein solitons in generalized Robertson-Walker (GRW) spacetimes. Besides, we demonstrate that in this scenario the GRW spacetime presents the Robertson-Walker (RW) spacetime and ...
Krishnendu De, Mohammad Nazrul Islam Khan, Uday Chand De   +2 more
doaj   +1 more source

Hyperbolic Gradient-Bourgoignon Flow

پژوهش‌های ریاضی, 2022
Introduction ‎Ricci solitons as a generalization of Einstein manifolds introduced by Hamilton in mid 1980s‎. ‎In the last two decades‎, ‎a lot of researchers have been done on Ricci solitons‎.
Hamed Faraji, Shahroud Azami, Ghodratallah Fasihi-Ramandi   +2 more
doaj  

Bach-flat gradient steady Ricci solitons

, 2014
In this paper we prove that any n-dimensional (n ≥ 4) complete Bach-flat gradient steady Ricci soliton with positive Ricci curvature is isometric to the Bryant soliton.
LORENZO MAZZIERI, Carlo Mantegazza, C. Mantegazza, H. D. Cao, Q. Chen, GIOVANNI CATINO, QIANG CHEN, MAZZIERI, LORENZO, MANTEGAZZA, Carlo Maria, CATINO, GIOVANNI, HUAI DONG CAO, L. Mazzieri, Huai-dong Cao   +12 more
core   +1 more source