Results 61 to 70 of about 34,327 (198)

Frailty and Cardiovascular Events as Determined by Body Composition: A Systematic Review

Chronic Diseases and Translational Medicine, EarlyView.
Frailty phenotypes and risk of cardiovascular disease. Sarcopenic obese phenotype is associated with increased prevalence of cardiovascular risk factors and progression of metabolic syndrome, leading to cardiovascular events and cardiovascular mortality, while the Anorexic malnourished phenotype is associated with reduced prevalence of cardiovascular ...
Ishleen Oberoi, Shabnam Tariq, Kristian Arak, Mhd Alaa Aldin Al‐Haffar, Kyaw Thet, Ahmed H. Abdelhafiz   +5 more
wiley   +1 more source

The Ricci flow for nilmanifolds

Journal of Modern Dynamics, 2010
We consider the Ricci flow for simply connected nilmanifolds, which translates to a Ricci flow on the space of nilpotent metric Lie algebras. We consider the evolution of the inner product and the evolution of structure constants, as well as the evolution of these quantities modulo rescaling.
openaire   +2 more sources

Curvature and Solitonic Structures of Para-Sasakian Manifolds With Schouten–van Kampen Connection on the Tangent Bundle

Journal of Mathematics
This paper investigates the complete lift of para-Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η ...
Lalnunenga Colney, Dalal Alhwikem, Teg Alam   +2 more
doaj   +1 more source

Ricci flows, wormholes and critical phenomena

, 2008
We study the evolution of wormhole geometries under Ricci flow using numerical methods. Depending on values of initial data parameters, wormhole throats either pinch off or evolve to a monotonically growing state.
Dai X Ma L, DeTurck D, Garfinkle D Isenberg J, Garfinkle D Isenberg J, Gegenberg J, Hamilton R S, Hedrick M, Oliynyk T, Perelman G, Perelman G, Samuel J, Sanjeev S Seahra, Viqar Husain   +12 more
core   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Ricci Flow and Volume Renormalizability [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2019
With respect to any special boundary defining function, a conformally compact asymptotically hyperbolic metric has an asymptotic expansion near its conformal infinity. If this expansion is even to a certain order and satisfies one extra condition, then it is possible to define its renormalized volume and show that it is independent of choices that ...
Bahuaud, E., Mazzeo, R., Woolgar, E.
openaire   +3 more sources

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

The Entropy of Lagrange-Finsler Spaces and Ricci Flows

, 2007
We formulate a statistical analogy of regular Lagrange mechanics and Finsler geometry derived from Grisha Perelman's functionals generalized for nonholonomic Ricci flows. There are elaborated explicit constructions when nonholonomically constrained flows
Antonelli, Bao, Bejancu, Cao, Hamilton, Miron, Miron R., Mrugala, Rapoport, Ruppeiner, Ruppeiner, Salamon, Sergiu I. Vacaru, Tsallis, Vacaru, Vacaru, Vacaru, Vacaru, Vacaru, Vacaru, Vacaru   +20 more
core   +4 more sources

Management of ring chromosome 20 syndrome: Narrative review and consensus recommendations

Epilepsia, EarlyView.
Abstract Ring chromosome 20 (ring 20) is a rare genetic condition usually presenting as developmental and epileptic encephalopathy. The disease is caused by fusion of the long and short arms of chromosome 20. Patients are symptomatic even if there is no loss of genetic material.
Asma Khamis, Emilia Ricci, Maria Paola Canevini, Lieven Lagae, Kentaro Tokumoto, Yushi Inoue, Tim Buckinx, Allison Watson, Kenneth A. Myers   +8 more
wiley   +1 more source

On non-degenerate singular points of normalized Ricci flows on some generalized Wallach spaces

Қарағанды университетінің хабаршысы. Математика сериясы, 2015
The present paper devoted to problems of Riemannian geometry and planar dynamical systems. In particular we study nondegenerate singular points of normalized Ricci flows on special type of generalized Wallach spaces.
N.А. Аbiev, Z.O. Turtkulbayeva
doaj