Results 11 to 20 of about 2,491 (99)

Lorentzian Para-Kenmotsu Manifolds Within the Framework of ∗-Conformal η-Ricci Soliton

Journal of Applied Mathematics
The present article intends to study the ∗-conformal η-Ricci soliton on n-LPK (n-dimensional Lorentzian para-Kenmotsu) manifolds with curvature constraints.
Shyam Kishor, Arun Kumar Bhardwaj, Naveen Mani, Rahul Shukla   +3 more
doaj   +2 more sources

A Study on Contact Metric Manifolds Admitting a Type of Solitons

Journal of Mathematics
The principal aim of the present article is to characterize certain properties of η-Ricci–Bourguignon solitons on three types of contact manifolds, that are K-contact manifolds, κ,μ-contact metric manifolds, and Nκ-contact metric manifolds.
Tarak Mandal, Uday Chand De, Meraj Ali Khan, Mohammad Nazrul Islam Khan   +3 more
doaj   +2 more sources

On harmonic and biharmonic maps from gradient Ricci solitons

Mathematische Nachrichten, Volume 296, Issue 11, Page 5109-5122, November 2023., 2023
Abstract We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two‐dimensional cigar soliton must be harmonic.
Volker Branding
wiley   +1 more source

Gaussian upper bounds for the heat kernel on evolving manifolds

Journal of the London Mathematical Society, Volume 108, Issue 5, Page 1747-1768, November 2023., 2023
Abstract In this article, we prove a general and rather flexible upper bound for the heat kernel of a weighted heat operator on a closed manifold evolving by an intrinsic geometric flow. The proof is based on logarithmic Sobolev inequalities and ultracontractivity estimates for the weighted operator along the flow, a method that was previously used by ...
Reto Buzano, Louis Yudowitz
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

Stability of K\"ahler-Ricci flow in the space of K\"ahler metrics [PDF]

, 2010
In this paper, we prove that on a Fano manifold $M$ which admits a K\"ahler-Ricci soliton $(\om,X)$, if the initial K\"ahler metric $\om_{\vphi_0}$ is close to $\om$ in some weak sense, then the weak K\"ahler-Ricci flow exists globally and converges in ...
Bando, Calabi, Calabi, Chen, Chen, Donaldson, Donaldson, Hamilton, Kai Zheng, Mabuchi, Matsushima, Munteanu, Phong, Phong   +13 more
core   +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, Sameh Shenawy, H. K. EL-Sayied, N. Syied, C. A. Mantica, Antonio Masiello   +5 more
wiley   +1 more source

Geometric classifications of k-almost Ricci solitons admitting paracontact metrices

Open Mathematics, 2023
The prime objective of the approach is to give geometric classifications of kk-almost Ricci solitons associated with paracontact manifolds. Let M2n+1(φ,ξ,η,g){M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a paracontact metric manifold, and if a KK-paracontact
Li Yanlin, Patra Dhriti Sundar, Alluhaibi Nadia, Mofarreh Fatemah, Ali Akram   +4 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, Meraj Ali Khan, Antonio Scarfone   +2 more
wiley   +1 more source

Solitons Equipped with a Semi-Symmetric Metric Connection with Some Applications on Number Theory

Mathematics, 2023
A solution to an evolution equation that evolves along symmetries of the equation is called a self-similar solution or soliton. In this manuscript, we present a study of η-Ricci solitons (η-RS) for an interesting manifold called the (ε)-Kenmotsu manifold
Ali H. Hakami, Mohd. Danish Siddiqi, Aliya Naaz Siddiqui, Kamran Ahmad   +3 more
doaj   +1 more source