Results 91 to 100 of about 75,365 (285)
The Impact of Quasi-Conformal Curvature Tensor on Warped Product Manifolds
This work investigates the effects on the factor manifolds of a singly warped product manifold resulting from the presence of a quasi-conformally flat, quasi-conformally symmetric, or divergence-free quasi-conformal curvature tensor.
Bang-Yen Chen +4 more
doaj +1 more source
On the topology of conformally compact Einstein 4-manifolds
In this paper we study the topology of conformally compact Einstein 4-manifolds. When the conformal infinity has positive Yamabe invariant and the renormalized volume is also positive we show that the conformally compact Einstein 4-manifold will have at ...
Chang, Alice, Qing, Jie, Yang, Paul
core
Four-Manifolds without Einstein Metrics [PDF]
A smooth Riemannian metric \(g\) is said to be Einstein if its Ricci curvature \(r\) is a constant multiple of the metric, i.e. \(r=\lambda g\). It is known that not every compact oriented 4-manifold \(M\) admits such metrics. A necessary condition for the existence of an Einstein metric on \(M\) is that the Hitchin-Thorpe inequality \(2\chi(M)\geq 3 ...
openaire +2 more sources
ABSTRACT Electrodialysis plays an important role in lithium extraction from brine. A two‐dimensional mathematical model for steady electrolyte transport during electrodialysis desalination is constructed in this study to uncover the mechanism of lithium‐ion transfer and forecast the behavior of electrodialysis.
Kang Li +5 more
wiley +1 more source
On Four Dimensional Einstein Manifolds
The paper contains an argument leading to a classification of Einstein four-manifolds with a 3-dimensional Abelian group of isometries, first established by Kasner in 1923.
openaire +4 more sources
Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
Self‐Creation of Accelerated Temporal Mirrors
The field of temporal analog effects is rapidly emerging and seen as a driver of a paradigm shift in photonics. It promises striking new phenomena but remains experimentally challenging. This work introduces a mechanism that automatically creates a temporal mirror with simple optical means, unlocking practical access to extreme nonlinear dynamics and ...
Oliver Melchert +4 more
wiley +1 more source
7D supersymmetric Yang-Mills on curved manifolds
We study 7D maximally supersymmetric Yang-Mills theory on curved manifolds that admit Killing spinors. If the manifold admits at least two Killing spinors (Sasaki-Einstein manifolds) we are able to rewrite the supersymmetric theory in terms of a ...
Konstantina Polydorou +2 more
doaj +1 more source
A novel and comprehensive 3D‐resolved kinetic Monte Carlo model coupled with mean square displacement analysis is introduced. This computational approach allows to explore, for the first time, the concentration and the state of charge effects on ionic diffusion coefficient and viscosity in methyl viologen‐based electrolytes used in organic redox flow ...
Jia Yu +2 more
wiley +1 more source
Super Quasi-Einstein Warped Products Manifolds with Respect to Affine Connections
In this paper, we investigate warped products on super quasi-Einstein manifolds under affine connections. We explore their fundamental properties, establish conditions for their existence, and prove that these manifolds can also be nearly quasi-Einstein ...
Mohd Vasiulla +3 more
doaj +1 more source

