Results 51 to 60 of about 387 (181)
Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons [PDF]
We explore the properties of almost Ricci solitons and the gradient Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure. We consider almost Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure when ...
Sudhakar Kumar Chaubey +3 more
doaj +1 more source
Propagation of symmetries for Ricci shrinkers
We will show that if a gradient shrinking Ricci soliton has an approximate symmetry on one scale, this symmetry propagates to larger scales. This is an example of the shrinker principle which roughly states that information radiates outwards for ...
Colding Tobias Holck +1 more
doaj +1 more source
Solitonic Aspect of Relativistic Magneto-Fluid Spacetime with Some Specific Vector Fields
The target of the current research article is to investigate the solitonic attributes of relativistic magneto-fluid spacetime (MFST) if its metrics are Ricci–Yamabe soliton (RY-soliton) and gradient Ricci–Yamabe soliton (GRY-soliton).
Mohd Danish Siddiqi +2 more
doaj +1 more source
A note on the uniformization of gradient Kähler Ricci solitons [PDF]
Applying a well known result for attracting fixed points of biholomorphisms \cite{RR, V}, we observe that one immediately obtains the following result: if $(M^n,g)$ is a complete non-compact gradient Kähler-Ricci soliton which is either steady with positive Ricci curvature so that the scalar curvature attains its maximum at some point, or expanding ...
Chau, Albert, Tam, Luen-Fai
openaire +3 more sources
Volume Growth Estimates of Gradient Ricci Solitons
AbstractIn this paper, we survey the volume growth estimates for shrinking, steady, and expanding gradient Ricci solitons. Together with the known results, we also prove some new volume growth estimates for expanding gradient Ricci solitons.
Pak-Yeung Chan, Zilu Ma, Yongjia Zhang
openaire +2 more sources
Almost Ricci-Yamabe soliton on Almost Kenmotsu Manifolds
This manuscript examines almost Kenmotsu manifolds (briefly, AKMs) endowed with the almost Ricci-Yamabe solitons (ARYSs) and gradient ARYSs. The condition for an AKM with ARYS to be $\eta$-Einstein is established.
Singh, J. P., Khatri, M.
core +2 more sources
A spinorial energy functional: Critical points and gradient flow
On the universal bundle of unit spinors we study a natural energy functional whose critical points, if dimM C 3, are precisely the pairs (g,φ) consisting of a Ricci-flat Riemannian metric g together with a parallel g-spinor φ.
Hartmut Weiss +5 more
core +1 more source
Gradient almost Ricci solitons on multiply warped product manifolds
In this paper, we investigate multiply warped product manifold \[M =B\times_{b_1} F_1\times_{b_2} F_2\times_{b_3} \ldots \times_{b_m} F_m\] as a gradient almost Ricci soliton.
S. Günsen, L. Onat
doaj +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
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
Bach-flat gradient steady Ricci solitons
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 +12 more
core +1 more source

