Results 41 to 50 of about 1,131 (182)

α-almost Ricci solitons on Kenmotsu manifolds [PDF]

, 2020
The current article purports to investigate α-almost Ricci solitons in the framework of Kenmotsu manifolds. Among others, we prove that an α- almost Ricci solitons on a Kenmotsu manifold is expanding.
Krishnendu De
core  

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Hyperbolic ∗-Ricci Solitons and Gradient Hyperbolic ∗-Ricci Solitons on (ε)-Almost Contact Metric Manifolds of Type (α, β)

Mathematics
In this research paper, we introduce the notions of hyperbolic ∗-Ricci solitons and gradient hyperbolic ∗-Ricci solitons. We study the hyperbolic ∗-Ricci solitons on a three-dimensional ε-trans-Sasakian manifold. Specifically, we determine the hyperbolic
Fatemah Mofarreh, Mohd Danish Siddiqi
doaj   +1 more source

On Non‐Compact Extended Bach Solitons

Mathematische Nachrichten, Volume 299, Issue 5, Page 1140-1151, May 2026.
ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
wiley   +1 more source

$\eta $-Ricci Solitons on $\eta $-Einstein $(LCS)_n$-Manifolds

, 2016
summary:The object of the present paper is to study $\eta $-Ricci solitons on $\eta $-Einstein $(LCS)_n$-manifolds. It is shown that if $\xi $ is a recurrent torse forming $\eta $-Ricci soliton on an $\eta $-Einstein $(LCS)_n$-manifold then $\xi $ is (i)
Hui, Shyamal Kumar, Chakraborty, Debabrata   +1 more
core   +1 more source

Rigidity of gradient Ricci solitons [PDF]

Pacific Journal of Mathematics, 2009
We define a gradient Ricci soliton to be rigid if it is a flat bundle $% N\times_Γ\mathbb{R}^{k}$ where $N$ is Einstein. It is known that not all gradient solitons are rigid. Here we offer several natural conditions on the curvature that characterize rigid gradient solitons.
Petersen, Peter, Wylie, William
openaire   +2 more sources

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

Examples of Ricci Solitons

Journal of Mathematical Study
In this survey paper, we discuss various examples of Ricci solitons and their constructions. Some open questions related to the rigidity and classification of Ricci solitons will be also discussed through those examples.
Zhao, Ziyi, Zhu, Xiaohua
openaire   +2 more sources

Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti   +2 more
wiley   +1 more source

Generalized η-Ricci solitons on f-Kenmotsu 3-manifolds associated to the Schoutenvan Kampen connection [PDF]

AUT Journal of Mathematics and Computing
In this paper, we investigate f-Kenmotsu 3-dimensional manifolds admitting generalized η-Ricci solitons with respect to the Schouten-van Kampen connection.
Shahroud Azami
doaj   +1 more source