Results 41 to 50 of about 3,312 (222)

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

The Impact of Socio-Economic Challenges and Technological Progress on Economic Inequality: An Estimation with the Perelman Model and Ricci Flow Methods [PDF]

SocioEconomic Challenges
The article examines the impact of 16 key parameters of the Georgian economy on economic inequality, using the Perelman model and Ricci flow mathematical methods.
Davit Gondauri
doaj   +1 more source

Ricci Flow Gravity [PDF]

PMC Physics A, 2007
15 pages. V2: improved presentation, in particular Jordan vs. Brans-Dicke and on viability. Added section on physical interpretation. V3: more references.
openaire   +2 more sources

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, EarlyView.
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

Stability of ALE Ricci-Flat Manifolds Under Ricci Flow [PDF]

The Journal of Geometric Analysis, 2020
AbstractWe prove that if an ALE Ricci-flat manifold (M, g) is linearly stable and integrable, it is dynamically stable under Ricci flow, i.e. any Ricci flow starting close togexists for all time and converges modulo diffeomorphism to an ALE Ricci-flat metric close tog. By adapting Tian’s approach in the closed case, we show that integrability holds for
Alix Deruelle, Klaus Kröncke
openaire   +3 more sources

Focal extracorporeal shockwave therapy in shoulder calcific tendinopathy: A retrospective observational study of sonographic prognostic factors

PM&R, EarlyView.
Abstract Objective To assess the potential prognostic role of sonographic parameters such as glenohumeral joint effusion, subacromial‐subdeltoid bursitis, and the type of intratendinous calcific deposition to predict the clinical and functional outcomes of focal extracorporeal shockwave therapy (fESWT) in patients with calcific tendinopathy of the ...
Arianna Pesaresi, Vincenzo Ricci, Giacomo Farì, Danilo Donati, Ke‐Vin Chang, Fabrizio Gervasoni, Levent Özçakar   +6 more
wiley   +1 more source

$ \eta $-Ricci-Bourguignon solitons in an almost pseudo-$ W_8 $ flat and $ M $-projective flat symmetric Lorentzian Kähler space-time manifold

AIMS Mathematics
In this paper, we investigated $ \eta $-Ricci-Bourguignon solitons within the framework of almost pseudo-$ W_8 $ flat and $ M $-projective flat symmetric Lorentzian Kähler space-time manifolds that satisfy the Einstein field equation with and without a ...
B. B. Chaturvedi, Prabhawati Bhagat, Mohammad Nazrul Islam Khan   +2 more
doaj   +1 more source

Hurdles to overcome to achieve biostimulant‐driven, low chemical input crop production

PLANTS, PEOPLE, PLANET, EarlyView.
Crop production requires considerable chemical inputs that result in significant greenhouse gas emissions and other environmental costs. Biostimulants are natural agents, such as microorganisms or seaweed, applied to plants and soil to stimulate plant growth and reduce chemical inputs. Biostimulant use is rapidly increasing globally, but hurdles remain,
Wolfram Buss, Katharina Belt, Zaw Hein, Arumdriya Putri, Shuoyang Zhu, Hana Suwandari, Alison R. Bentley   +6 more
wiley   +1 more source

Metric flows with neural networks

Machine Learning: Science and Technology
We develop a general theory of flows in the space of Riemannian metrics induced by neural network (NN) gradient descent. This is motivated in part by recent advances in approximating Calabi–Yau metrics with NNs and is enabled by recent advances in ...
James Halverson, Fabian Ruehle
doaj   +1 more source

Efficient Data Assimilation Method for Optimizing Prediction of Flow Field and Sediment Transport in Open Channel

River Research and Applications, EarlyView.
ABSTRACT Accurately predicting open‐channel flow under complex conditions remains a challenge. This study introduces a novel synergetic self‐adaptive data assimilation (DA) framework, using a proportional‐integral‐derivative (PID) controller to dynamically calibrate the bed roughness parameter ks in a shallow‐water equation model (via the momentum ...
M. Almetwally Ahmed, S. Samuel Li
wiley   +1 more source