Results 31 to 40 of about 38,409 (231)
∗-Ricci Tensor on α-Cosymplectic Manifolds
Advances in Mathematical Physics, 2022 In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
M. R. Amruthalakshmi +3 more
doaj +1 more source
Nontrivial breathers for Ricci flow
Bulletin of the London Mathematical Society, Volume 55, Issue 1, Page 344-348, February 2023., 2023 Abstract Perelman has proved that there cannot exist a nontrivial breather for Ricci flow on a closed manifold. Here we construct nontrivial expanding breathers for Ricci flow in all dimensions when the underlying manifold is allowed to be noncompact.
Peter M. Topping
wiley +1 more source
Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity
Journal of the London Mathematical Society, Volume 106, Issue 3, Page 1844-1896, October 2022., 2022 Abstract We prove rigidity results involving the Hawking mass for surfaces immersed in a 3‐dimensional, complete Riemannian manifold (M,g)$(M,g)$ with non‐negative scalar curvature (respectively, with scalar curvature bounded below by −6$-6$). Roughly, the main result states that if an open subset Ω⊂M$\Omega \subset M$ satisfies that every point has a ...
Andrea Mondino, Aidan Templeton‐Browne
wiley +1 more source
ρ‐Einstein Solitons on Warped Product Manifolds and Applications
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The purpose of this research is to investigate how a ρ‐Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ‐Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ‐Einstein soliton warped product manifold to make its factor ρ ...
Nasser Bin Turki +5 more
wiley +1 more source
On Moduli Spaces of Ricci Solitons [PDF]
The Journal of Geometric Analysis, 2013 18 ...
PODESTA', FABIO, Andrea Spiro
openaire +3 more sources
h-Almost Ricci solitons with concurrent potential fields
AIMS Mathematics, 2020 In this paper, we will focus our attention on the structure of h-almost Ricci solitons. A complete classification of h-almost Ricci solitons with concurrent potential vector fields is given.
Hamed Faraji +2 more
doaj +1 more source
Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In the present note, we study ϵ‐LP‐Sasakian 3‐manifolds M3(ϵ) whose metrics are conformal η‐Ricci‐Yamabe solitons (in short, CERYS), and it is proven that if an M3(ϵ) with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ − ϵσ = −2ϵl + (mr/2) + (1/2)(p + (2/3)). Further, we study gradient CERYS in M3(ϵ) and proved
Abdul Haseeb +2 more
wiley +1 more source
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
Cao, Huai-Dong, Chen, Qiang
core +1 more source
Sub‐Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 We consider the sub‐Lorentzian geometry of curves and surfaces in the Lie group E(1, 1). Firstly, as an application of Riemannian approximants scheme, we give the definition of Lorentzian approximants scheme for E(1, 1) which is a sequence of Lorentzian manifolds denoted by Eλ1,λ2L.
Haiming Liu +2 more
wiley +1 more source
On the classification of gradient Ricci solitons [PDF]
Geometry & Topology, 2010 14 pages. case.
Petersen, Peter, Wylie, William
openaire +4 more sources