Results 101 to 110 of about 71,844 (227)

Holonomy of Einstein Lorentzian manifolds [PDF]

Classical and Quantum Gravity, 2010
The classification of all possible holonomy algebras of Einstein and vacuum Einstein Lorentzian manifolds is obtained. It is shown that each such algebra appears as the holonomy algebra of an Einstein (resp., vacuum Einstein) Lorentzian manifold, the direct constructions are given.
openaire   +3 more sources

Dynamics of Vector Soliton Singlets and Pairs in Self‐Mode‐Locked Tm‐Doped Fibre Lasers

Laser &Photonics Reviews, EarlyView.
This study characterises soliton build‐up dynamics in a self‐mode‐locked Tm‐doped fibre laser, where both cavity birefringence and distributed saturable absorber play significant roles in the intracavity pulse shaping. The recorded single‐shot spectra using the dispersive Fourier transform technique reveal intensity‐dependent temporal splitting of ...
Dennis C. Kirsch, Anastasia Bednyakova, Maria Chernysheva   +2 more
wiley   +1 more source

Sphere Theorems for σ_k-Einstein Manifolds

Axioms
A problem that geometers have always been concerned with is when a closed manifold is isometric to a round sphere. A classical result shows that a closed locally conformally flat Einstein manifold is always isometric to a quotient of a round sphere.
Jingyang Zhong, Xinran Mu
doaj   +1 more source

A Neuromorphic Camera for Tracking Passive and Active Matter with Lower Data Throughput

Laser &Photonics Reviews, EarlyView.
The merits of an event‐based camera (EBC) for studies of passive and active matter are demonstrated. It is shown that it is possible to achieve results equivalent to those from an sCMOS camera while reducing data file sizes by up to two orders of magnitude.
Gabriel Britto Monteiro, Megan Lim, Tiffany Cheow Yuen Tan, Avinash Upadhya, Zhuo Liang, Benjamin Agnew, Tomonori Hu, Benjamin J. Eggleton, Christopher Perrella, Kylie Dunning, Kishan Dholakia   +10 more
wiley   +1 more source

Glass Microsphere‐Filled Microlayer Films via Layer Multiplying Co‐Extrusion: Morphology and Process Stability

Macromolecular Materials and Engineering, EarlyView.
This study explores processing conditions during the co‐extrusion of highly particle‐filled layered polymeric composites. With an appropriate rheology match, layers with thicknesses approaching the particle sizes are possible. However, instability‐driven layer break‐up occurs when a critical interfacial shear stress is exceeded.
Dayne A. Plemmons, Erik Steinmetz, João M. Maia, Joseph L. Lenhart, Randy A. Mrozek   +4 more
wiley   +1 more source

On Riemannian warped-twisted product submersions

AIMS Mathematics
In this paper, we introduce the concepts of Riemannian warped-twisted product submersions and examine their fundamental properties, including total geodesicity, total umbilicity and minimality.
Richa Agarwal, Fatemah Mofarreh, Sarvesh Kumar Yadav, Shahid Ali, Abdul Haseeb   +4 more
doaj   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Characterizing ϕRic-Vector Fields and Quasi-Einstein Manifolds on Multiply Warped Product Manifolds

International Journal of Mathematics and Mathematical Sciences
We characterize multiply warped product manifolds with ϕRic-vector fields. We give the necessary and sufficient conditions for the lift of a vector field on a factor manifold to be the ϕRic-vector field.
Moctar Traore, Ameth Ndiaye, Mansour Sane   +2 more
doaj   +1 more source

There Are No Conformal Einstein Rescalings of Pseudo-Riemannian Einstein Spaces with n Complete Light-Like Geodesics

Mathematics, 2019
In the present paper, we study conformal mappings between a connected n-dimension pseudo-Riemannian Einstein manifolds. Let g be a pseudo-Riemannian Einstein metric of indefinite signature on a connected n-dimensional manifold M.
Josef Mikeš, Irena Hinterleitner, Nadezda Guseva   +2 more
doaj   +1 more source

Unification of Conformal and Fuzzy Gravities With Internal Interactions Resulting in SO(10) and a Possible Probe Through Stochastic Gravitational Wave Background

Fortschritte der Physik, EarlyView.
Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis, Danai Roumelioti, Stelios Stefas, George Zoupanos   +3 more
wiley   +1 more source