Results 61 to 70 of about 4,579 (296)

Flow by the power of the Gauss curvature

open access: yes, 2015
We prove that convex hypersurfaces in ${\mathbb R}^{n+1}$ contracting under the flow by any power $α>\frac{1}{n+2}$ of the Gauss curvature converge (after rescaling to fixed volume) to a limit which is a smooth, uniformly convex self-similar contracting solution of the flow.
Andrews, Ben, Guan, Pengfei, Ni, Lei
openaire   +2 more sources

Aspects of Holographic Superconductivity [PDF]

open access: yes, 2012
In this thesis we study two different aspects of holographic superconductivity. First we study fully backreacting Gauss-Bonnet (GB) holographic superconductors in 5 bulk spacetime dimensions. We explore the system’s dependence on the scalar mass for both
BARCLAY, LUKE
core  

Complete hypersurfaces with constant mean curvature and zero Gauss-Kronecker curvature in spheres.

open access: yes, 2013
Neste trabalho mostramos que hipersuperfícies completas da esfera Euclidiana S^4, com curvatura média constante e curvatura de Gauss-Kronecker nula são mínimas, sempre que o quadrado da norma da segunda forma fundamental for limitado superiormente. Além
Juan Fernando Zapata Zapata   +1 more
core   +1 more source

Nontrivial spatial behavior of the Gauss-Bonnet curvature invariant of rapidly-rotating Kerr black holes

open access: yes, 2022
The Gauss-Bonnet curvature invariant has attracted the attention of physicists and mathematicians over the years. In particular, it has recently been proved that black holes can support external matter configurations that are non-minimally coupled to the
Hod, Shahar
core   +1 more source

Shear‐Induced Emergence of Aromatic Superlow‐Friction Interfaces in Amorphous Carbon: Triggering Chemical Impurities and Atomic‐Scale Mechanisms

open access: yesAdvanced Science, EarlyView.
High‐throughput quantum‐mechanical simulations reveal that amorphous carbon undergoes shear‐driven structural transformation into aromatic, graphene‐like interfaces. This mechanochemical process is governed by dopant chemistry: dopants with valency less than four promote the emergence of superlow‐friction amorphous graphene, whereas tetra‐valent ...
Takuya Kuwahara   +4 more
wiley   +1 more source

On the Gauss-Bonnet for the quasi-Dirac operators on the sphere

open access: yesDemonstratio Mathematica, 2017
We investigate examples of Gauss-Bonnet theorem and the scalar curvature for the two-dimensional commutative sphere with quasi-spectral triples obtained by modifying the order-one condition.
Sitarz Andrzej
doaj   +1 more source

Intramolecular Interactions between Folded and Disordered Regions Shape Ubiquilin Structure and Function

open access: yesAdvanced Science, EarlyView.
Ubiquilin (UBQLN), like many other human proteins, contains both well‐folded and disordered regions. Here, we show that intramolecular interactions between disordered regions and folded domains modulate between open and closed topologies of UBQLN proteins, altering their structure and function.
Jessica K. Niblo   +4 more
wiley   +1 more source

Sub-Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group

open access: yesAdvances in Mathematical Physics, 2022
We consider the sub-Lorentzian geometry of curves and surfaces in the Lie group E1,1. Firstly, as an application of Riemannian approximants scheme, we give the definition of Lorentzian approximants scheme for E1,1 which is a sequence of Lorentzian ...
Haiming Liu, Jianyun Guan
doaj   +1 more source

Optimizing Stratification in Binary Colloidal Supraparticles

open access: yesAdvanced Science, EarlyView.
Supraparticles from binary particle populations show stratification when dried at high Péclet numbers. In spray‐dried systems at high initial particle concentration and fast drying conditions optimal combinations of particle size ratios and volume fractions that produce maximal stratification are found both in experiment and simulation, contrasting the
Frederic Rudlof   +5 more
wiley   +1 more source

Einstein-Gauss-Bonnet Gravity with Extra Dimensions

open access: yesGalaxies, 2019
We consider a theory of modified gravity possessing d extra spatial dimensions with a maximally symmetric metric and a scale factor, whose ( 4 + d ) -dimensional gravitational action contains terms proportional to quadratic curvature scalars ...
Carsten van de Bruck, Chris Longden
doaj   +1 more source

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