Results 21 to 30 of about 140 (130)
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
Conformal Ricci solitons on generalized (κ,μ)-space forms
International Journal of Geometric Methods in Modern Physics, 2022 In this paper, we study conformal Ricci solitons and conformal gradient Ricci solitons on generalized [Formula: see text]-space forms. The conditions for the solitons to be shrinking, steady and expanding are derived in terms of conformal pressure [Formula: see text]. We show under what conditions a Ricci semi-symmetric generalized [Formula: see text]-
Lone, Mehraj Ahmad, Wani, Towseef Ali
openaire +3 more sources
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
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
Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we study the twisted product manifolds with gradient Ricci–Yamabe solitons. Then, we classify and characterize the warped product and twisted product spaces with gradient Ricci–Yamabe solitons. We also study the construction of the model space of gradient Ricci–Yamabe solitons in the Riemannian product manifolds and the warped product ...
Byung Hak Kim +4 more
wiley +1 more source
Conformally Kähler Ricci solitons and base metrics for warped product Ricci solitons [PDF]
Pacific Journal of Mathematics, 2017 We investigate K hler metrics conformal to gradient Ricci solitons, and base metrics of warped product gradient Ricci solitons. The latter we name quasi-solitons. A main assumption that is employed is functional dependence of the soliton potential, with the conformal factor in the first case, and with the warping function in the second.
openaire +3 more sources
On locally conformally flat gradient steady Ricci solitons [PDF]
Transactions of the American Mathematical Society, 2012 16 pages; final version, to appear in Trans. Amer.
Cao, Huai-Dong, Chen, Qiang
openaire +3 more sources
Sasakian Manifolds Admitting ∗‐η‐Ricci‐Yamabe Solitons
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In this note, we characterize Sasakian manifolds endowed with ∗‐η‐Ricci‐Yamabe solitons. Also, the existence of ∗‐η‐Ricci‐Yamabe solitons in a 5‐dimensional Sasakian manifold has been proved through a concrete example.
Abdul Haseeb +3 more
wiley +1 more source
Conformal Ricci soliton in para-Sasakian manifolds
Novi Sad Journal of Mathematics, 2021 Summary: The object of the present paper is to study \(M\)-projective curvature tensor, pseudo projective curvature tensor, Ricci curvature tensor in para-Sasakian manifold admitting conformal Ricci soliton. We have studied \(M\)-projective semi symmetric para-Sasakian manifolds admitting a conformal Ricci soliton.
Kishor, Shyam, Verma, Pushpendra
openaire +1 more source