Results 61 to 70 of about 1,183,540 (276)

Geometry of Manifolds and Applications

Mathematics
This editorial presents 24 research articles published in the Special Issue entitled Geometry of Manifolds and Applications of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their ...
Adara M. Blaga
doaj   +1 more source

Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry

Advanced Nonlinear Studies, 2022
In this article, we establish a Gaffney type inequality, in Wℓ,p{W}^{\ell ,p}-Sobolev spaces, for differential forms on sub-Riemannian contact manifolds without boundary, having bounded geometry (hence, in particular, we have in mind noncompact manifolds)
Baldi Annalisa, Tesi Maria Carla, Tripaldi Francesca   +2 more
doaj   +1 more source

Riemannian geometry for EEG-based brain-computer interfaces; a primer and a review

, 2017
Despite its short history, the use of Riemannian geometry in brain-computer interface (BCI) decoding is currently attracting increasing attention, due to accumulating documentation of its simplicity, accuracy, robustness and transfer learning ...
M. Congedo, A. Barachant, R. Bhatia
semanticscholar   +1 more source

The Geometry of Riemannian Curvature Radii

Journal of Dynamical and Control Systems, 2023
AbstractWe study the geometric structures associated with curvature radii of curves with values on a Riemannian manifold (M, g). We show the existence of sub-Riemannian manifolds naturally associated with the curvature radii and we investigate their properties. In the particular case of surfaces these sub-Riemannian structures are of Engel type.
openaire   +2 more sources

Optimal control in nonequilibrium systems: Dynamic Riemannian geometry of the Ising model. [PDF]

Physical review. E, Statistical, nonlinear, and soft matter physics, 2015
A general understanding of optimal control in nonequilibrium systems would illuminate the operational principles of biological and artificial nanoscale machines.
Grant M. Rotskoff, G. Crooks
semanticscholar   +1 more source

Towards Adaptive Classification using Riemannian Geometry approaches in Brain-Computer Interfaces

Balkan Conference in Informatics, 2019
The omnipresence of non-stationarity and noise in Electroencephalogram signals restricts the ubiquitous use of Brain-Computer interface. One of the possible ways to tackle this problem is to adapt the computational model used to detect and classify ...
Satyam Kumar, F. Yger, F. Lotte
semanticscholar   +1 more source

Contact Riemannian geometry and thermodynamics

Differential Geometry and its Applications, 1998
AbstractContact Riemannian geometry is used to study equilibrium thermodynamical systems as embedded submanifolds of the thermodynamical phase space. A metric compatible with the contact structure is chosen and proved to be invariant under Legendre transformations.
Gerardo Hernández, Ernesto A. Lacomba
openaire   +2 more sources

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

Communications on Pure and Applied Mathematics, EarlyView.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli, Marco Pozzetta, Daniele Semola   +2 more
wiley   +1 more source

Geodesic Vector Fields on a Riemannian Manifold

Mathematics, 2020
A unit geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in other worlds have zero acceleration. A geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of
Sharief Deshmukh, Patrik Peska, Nasser Bin Turki   +2 more
doaj   +1 more source

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source