Results 91 to 100 of about 130,788 (348)

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

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

Connecting and Closed Geodesics of a Kropina Metric

Advanced Nonlinear Studies, 2021
We prove some results about existence of connecting and closed geodesics in a manifold endowed with a Kropina metric. These have applications to both null geodesics of spacetimes endowed with a null Killing vector field and Zermelo’s navigation problem ...
Caponio Erasmo, Giannoni Fabio, Masiello Antonio, Suhr Stefan   +3 more
doaj   +1 more source

Models of rotating boson stars and geodesics around them: new type of orbits [PDF]

, 2014
We have developed a highly accurate numerical code capable of solving the coupled Einstein-Klein-Gordon system, in order to construct rotating boson stars in general relativity. Free fields and self-interacting fields, with quartic and sextic potentials,
P. Grandclément, C. Som'e, E. Gourgoulhon   +2 more
semanticscholar   +1 more source

Measuring the Sustainability Performance of Tech Companies: Scale Development Approach for Achieving Corporate Social Responsibility

Corporate Social Responsibility and Environmental Management, EarlyView.
ABSTRACT The European Union (EU) has consistently advanced sustainability goals, with the 2019 European Green Deal (EGD) serving as a cornerstone initiative aligned with global sustainability frameworks. Yet, the combined impact of the Covid‐19 pandemic, energy market volatility, and supply chain disruptions has amplified the urgency of evaluating ...
Edoardo Crocco, Laura Broccardo, Hind Alofaysan, Dhruv Galgotia   +3 more
wiley   +1 more source

Hypersurface Constrained Elasticae in Lorentzian Space Forms

Advances in Mathematical Physics, 2015
We study geodesics in hypersurfaces of a Lorentzian space form M1n+1(c), which are critical curves of the M1n+1(c)-bending energy functional, for variations constrained to lie on the hypersurface. We characterize critical geodesics showing that they live
Óscar J. Garay, Álvaro Pámpano, Changhwa Woo   +2 more
doaj   +1 more source

Scalp‐negative medial temporal interictal epileptic discharges alter large‐scale brain networks: A simultaneous high‐density electroencephalographic and intracranial electroencephalographic study

Epilepsia, EarlyView.
Abstract Objective Interictal epileptiform discharges (IEDs) observed on scalp electroencephalography (EEG) serve as a diagnostic hallmark of epilepsy. However, only a small fraction of IEDs recorded by intracranial EEG (iEEG) are detectable on the scalp; the vast majority remain invisible on scalp recordings.
Nicolas Roehri, Pia De Stefano, Laurent Spinelli, Renaud Marquis, Stanislas Lagarde, Shahan Momjian, Margitta Seeck, Serge Vulliemoz   +7 more
wiley   +1 more source

The Interconnection Between Calculus of Variations, Partial Differential Equations and Differential Geometry

Selecciones Matemáticas
Calculus of variations is a fundamental mathematical discipline focused on optimizing functionals, which map sets of functions to real numbers. This field is essential for numerous applications, including the formulation and solution of partial ...
Delphin Mwinken
doaj   +1 more source

sEEG‐guided responsive neurostimulation to treat neocortical epilepsy: A multicenter retrospective study of the efficacy and safety of depth electrode‐mediated neuromodulation

Epilepsia Open, EarlyView.
Abstract Objectives Pivotal trials have established the effectiveness of the Responsive Neurostimulation System (RNS® System) in treating focal epilepsy. In clinical trials, depth leads were primarily used to treat mesial temporal seizure onsets while cortical strip leads were used to treat neocortical seizure onsets.
Sina Sadeghzadeh, David A. Purger, Priya Bhanot, Noriah Johnson, Daniel A. N. Barbosa, Yuhao Huang, Jay J. Park, Ethan Schonfeld, Matthew A. Abikenari, Bhav Jain, Joshua P. Aronson, Cornelia Drees, Tiffany L. Fisher, Jason Gerrard, Tyler E. Gray, Saadi Ghatan, Kevin Hines, Barbara C. Jobst, Ioannis Karakis, Steven G. Ojemann, Imran H. Quraishi, Ahmed M. Raslan, Michael D. Sather, Christopher T. Skidmore, Jon T. Willie, Chengyuan Wu, Ji Yeoun Yoo, Kevin D. Graber, Casey H. Halpern, Vivek P. Buch, Jonathon J. Parker   +30 more
wiley   +1 more source

APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS

Selecciones Matemáticas, 2016
In this paper, we proposes an algorithm to approximate the Geodesic distance between points p and q of sphere, through the numerical solution of initial value problem associated with the system of ordinary differential equations of the geodesics; for ...
Franco Rubio, Ronald León
doaj   +1 more source