Results 51 to 60 of about 82,161 (203)

The Geometry of Warped Product Singularities

, 2017
In this article the degenerate warped products of singular semi-Riemannian manifolds are studied. They were used recently by the author to handle singularities occurring in General Relativity, in black holes and at the big-bang. One main result presented
Beem J. K., Kruchkovich G. I., Ovidiu Cristinel Stoica, O’Neill B., Prvanović M., Stoica O. C., Stoica O. C., Stoica O. C., Stoica O. C.   +8 more
core   +1 more source

On Slant Riemannian Submersions For Cosymplectic Manifolds [PDF]

, 2013
In this paper we introduce slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We obtain some results on slant Riemannian submersions of a cosymplectic manifolds.
Erken, İrem Küpeli, Murathan, Cengizhan   +1 more
core  

Blocking light in compact Riemannian manifolds

, 2006
We study compact Riemannian manifolds for which the light between any pair of points is blocked by finitely many point shades. Compact flat Riemannian manifolds are known to have this finite blocking property.
Benjamin Schmidt, Berger, Besse, Brown, Davis, do Carmo, Gutkin, Jean-François Lafont, Mañé, Monteil, Pesin, Sabourau, Santaló   +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

Low Dimensional Flat Manifolds with Some Elasses of Finsler Metric

پژوهش‌های ریاضی, 2020
Introduction An -dimensional Riemannian manifold  is said to be flat (or locally Euclidean) if  locally isometric with the Euclidean space, that is,  admits a covering of coordinates neighborhoods each of which is isometric with a Euclidean domain.
Sedigheh Alavi Endrajemi, Mehdi Rafie-Rad   +1 more
doaj  

Holonomy algebras of Einstein pseudo-Riemannian manifolds

, 2018
The holonomy algebras of Einstein not Ricci-flat pseudo-Riemannian manifolds of arbitrary signature are classified. As illustrating examples, the cases of Lorentzian manifolds, pseudo-Riemannian manifolds of signature $(2,n)$ and the para-quaternionic-K\"
Galaev, Anton S.
core   +1 more source

Artificial intelligence‐assisted detection of epileptic spasms using electroencephalographic–video analysis

Epilepsia, EarlyView.
Abstract Objective This study was undertaken to develop and validate an artificial intelligence (AI) diagnostic tool using hybrid electroencephalographic (EEG)–video signals for automatic epileptic spasms (ES) detection. Methods This retrospective cohort study with internal cross‐validation and multicenter external validation was conducted from July ...
Lin Wan, Nan Lin, Wen Wang, Zi Liang, Yisu Dong, Haibo He, Jian Chen, Yuying Fan, Tong Liu, Hongjie Wang, Weike Cheng, Guangshuang Lu, Juan Wang, Bo Zhang, Qiang Lu, Guang Yang   +15 more
wiley   +1 more source

Ricci Solitons on Riemannian Hypersurfaces Generated by Torse-Forming Vector Fields in Riemannian and Lorentzian Manifolds

Axioms
In this paper, we examine torse-forming vector fields to characterize extrinsic spheres (that is, totally umbilical hypersurfaces with nonzero constant mean curvatures) in Riemannian and Lorentzian manifolds.
Norah Alshehri, Mohammed Guediri
doaj   +1 more source

A Geometry Preserving Kernel over Riemannian Manifolds [PDF]

Journal of Artificial Intelligence and Data Mining, 2018
- Kernel trick and projection to tangent spaces are two choices for linearizing the data points lying on Riemannian manifolds. These approaches are used to provide the prerequisites for applying standard machine learning methods on Riemannian manifolds ...
Kh. Sadatnejad, S. Shiry Ghidari, M. Rahmati   +2 more
doaj   +1 more source

Fast Sequential Clustering in Riemannian Manifolds for Dynamic and Time-Series-Annotated Multilayer Networks

IEEE Open Journal of Signal Processing, 2021
This work exploits Riemannian manifolds to build a sequential-clustering framework able to address a wide variety of clustering tasks in dynamic multilayer (brain) networks via the information extracted from their nodal time-series.
Cong Ye, Konstantinos Slavakis, Johan Nakuci, Sarah F. Muldoon, John Medaglia   +4 more
doaj   +1 more source