Results 31 to 40 of about 2,641 (225)
Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity
Journal of High Energy Physics, 2020 We investigate the neutral AdS black-hole solution in the consistent D → 4 Einstein-Gauss-Bonnet gravity proposed in [K. Aoki, M.A. Gorji, and S. Mukohyama, Phys. Lett.
Xiongying Qiao +4 more
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Variational properties of the Gauss–Bonnet curvatures [PDF]
Calculus of Variations and Partial Differential Equations, 2007 The Gauss-Bonnet curvature of order $2k$ is a generalization to higher dimensions of the Gauss-Bonnet integrand in dimension $2k$, as the usual scalar curvature generalizes the two dimensional Gauss-Bonnet integrand. In this paper, we evaluate the first variation of the integrals of these curvatures seen as functionals on the space of all Riemannian ...
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Surfaces with prescribed Gauss curvature
Duke Mathematical Journal, 2000 This paper is concerned with prescribing Gaussian curvature for surfaces over \(\mathbb{R}^2\), i.e. with discussing existence and uniqueness for the following semilinear elliptic PDE: \[ K(x)=-e ^{-2u(x)}\Delta u(x) \] in the unknown function \(u\). The authors adopt a new approach to this long standing problem, which permit them to consider a wide ...
Chanillo, Sagun, Kiessling, Michael
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Lorentzian Approximations and Gauss–Bonnet Theorem for E1,1 with the Second Lorentzian Metric
Journal of Mathematics, 2022 In this paper, we consider the Lorentzian approximations of rigid motions of the Minkowski plane EL21,1. By using the method of Lorentzian approximations, we define the notions of the intrinsic curvature for regular curves, the intrinsic geodesic ...
Haiming Liu, Xiawei Chen
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Holographic p-wave superfluid in Gauss–Bonnet gravity
Physics Letters B, 2017 We construct the holographic p-wave superfluid in Gauss–Bonnet gravity via a Maxwell complex vector field model and investigate the effect of the curvature correction on the superfluid phase transition in the probe limit.
Shancheng Liu, Qiyuan Pan, Jiliang Jing
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Special Curves in Engineering. Surfaces Generated by the Logarithmic Spiral
Modelling in Civil Environmental Engineering, 2022 The logarithmic spiral is one of the most known curves with applications in engineering. We consider product of the logarithmic spiral with a real line and tensor product of two logarithmic spirals and investigate their minimality or flatness.
Broscăţeanu Ștefan Cezar
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Imaging of Biphoton States: Fundamentals and Applications
Advanced Functional Materials, EarlyView.Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
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On hyperbolic Gauss curvature flows
Journal of Differential Geometry, 2011 Contrast to the hyperbolic mean curvature flows studied in "Hyperbolic mean curvature flow," J. Differential Equations 246 (2009), 373–390, "The hyperbolic mean curvature flow," J. Math. Pures Appl. 90 (2008) 591–614, and "Formation of singularities in the motion of plane curves under hyperbolic mean curvature flow," J. Differential Equations 247 (2009)
Chou, Kai-Seng, Wo, Weifeng
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Nucleation‐Controlled Reconstruction of CuOx for Selective CO2 Electroreduction
Advanced Functional Materials, EarlyView.The ratio of oxygen vacancies (Ov) and exposed Cu2O (111)/(200) of CuOx precatalyst is modulated by nucleation control of Cu(OH)2 precursor. Low Ov ratio and high ratio of Cu2O (111)/(200) in slow‐nucleated CuOx reconstructs to high‐coordinated oxide‐derived copper (OD‐Cu) during electrochemical CO2 reduction reaction (CO2RR) and exhibits enhanced ...
Ying Ying Ch'ng +14 more
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Journal of Mathematics, 2021 The rototranslation group ℛT is the group comprising rotations and translations of the Euclidean plane which is a 3-dimensional Lie group. In this paper, we use the Riemannian approximation scheme to compute sub-Riemannian limits of the Gaussian ...
Haiming Liu +3 more
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