Results 141 to 150 of about 3,177,995 (232)

Neckpinch singularities of Ricci flow

open access: yes
We use asymptotic analysis techniques to analyze Ricci flow asymptotic to a cylinder and prove two results. First, we derive the precise asymptotic behavior of a compact rotationally symmetric Ricci flow near a singularity modeled on the round cylinder ...

core   +1 more source

Introduction of the G2-Ricci flow: Geometric implications for spontaneous symmetry breaking and gauge boson masses

open access: yesNuclear Physics B
This work introduces the G2-Ricci flow on seven-dimensional manifolds with non-zero torsion and explores its physical implications. By extending the Ricci flow to manifolds with G2 structures, we study the evolution of solitonic solutions and their role ...
Richard Pinčák   +3 more
doaj   +1 more source

Ollivier Ricci-flow on weighted graphs [PDF]

open access: yes
We study the existence of solutions of Ricci flow equations of Ollivier-Lin-Lu-Yau curvature defined on weighted graphs. Our work is motivated by\cite{NLLG} in which the discrete time Ricci flow algorithm has been applied successfully as a discrete ...
Lu, Linyuan   +4 more
core   +1 more source

Some Topics in the Ricci Flow

open access: yesJournal of Mathematical Study
The Ricci flow plays an essential role in modern geometric analysis. In this short note, we only survey some special topics of this broad and deep field. We first survey some convergence results of the Ricci flow and the Kähler Ricci flow. In particular, we explain the basic idea in the proof of the Hamilton-Tian conjecture.
Chen, Xiuxiong, Wang, Bing
openaire   +2 more sources

Geometric Analysis of η-Ricci Bourguignon Solitons on Para-Sasakian Manifolds With Semisymmetric Nonmetric Connection (SSNMC) on the Tangent Bundle

open access: yesJournal of Mathematics
In this paper, we investigate the geometric properties of η-Ricci–Bourguignon (η-RB) solitons on para-Sasakian manifolds equipped with a semisymmetric nonmetric connection (SSNMC). By employing the complete lift on the tangent bundle, we derive curvature
Lalnunenga Colney   +3 more
doaj   +1 more source

Community Detection on Networks with Ricci Flow. [PDF]

open access: yesSci Rep, 2019
Ni CC, Lin YY, Luo F, Gao J.
europepmc   +1 more source

The Ricci flow

open access: yes, 2015
Ricci flow is a powerful technique using a heat-type equation to deform Riemannian metrics on manifolds to better metrics in the search for geometric decompositions.
Chow, Bennett   +3 more
core  

Ricci-flow based conformal mapping of the proximal femur to identify exercise loading effects. [PDF]

open access: yesSci Rep, 2018
Narra N   +6 more
europepmc   +1 more source

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