Results 21 to 30 of about 4,579 (296)

AdS/BCFT and Island for curvature-squared gravity

open access: yesJournal of High Energy Physics, 2022
In this paper, we investigate AdS/BCFT for curvature-squared gravity. To warm up, we start with Gauss-Bonnet gravity. We derive the one point function of stress tensor and show that the central charge related to the norm of displacement operator is ...
Qi-Lin Hu   +3 more
doaj   +1 more source

On a Surface Associated to the Catalan Triangle

open access: yesAxioms, 2022
We define a surface that interpolates the ballot numbers in the Catalan triangle corresponding to every pair of nonnegative integers (except for the origin).
Marilena Jianu   +5 more
doaj   +1 more source

Curvatures of hypersurfaces

open access: yesLietuvos Matematikos Rinkinys, 2010
In this article we generalize some classical formulas for curvatures of hypersurfaces in the n-dimensional Euclidean space using the homogeneous formulas.
Kazimieras Navickis
doaj   +1 more source

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with backreactions

open access: yesPhysics Letters B, 2021
We construct the holographic superconductors away from the probe limit in the consistent D→4 Einstein-Gauss-Bonnet gravity. We observe that, both for the ground state and excited states, the critical temperature first decreases then increases as the ...
Jie Pan   +5 more
doaj   +1 more source

Variational properties of the Gauss–Bonnet curvatures [PDF]

open access: yesCalculus 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 ...
openaire   +2 more sources

Horndeski gravity as D → 4 limit of Gauss-Bonnet

open access: yesPhysics Letters B, 2020
We propose a procedure for the D→4 limit of Einstein-Gauss-Bonnet (EGB) gravity that leads to a well defined action principle in four dimensions. Our construction is based on compactifying D-dimensional EGB gravity on a (D−4)-dimensional maximally ...
H. Lü, Yi Pang
doaj   +1 more source

Curvature-driven instabilities in thin active shells

open access: yesRoyal Society Open Science, 2022
Spontaneous material shape changes, such as swelling, growth or thermal expansion, can be used to trigger dramatic elastic instabilities in thin shells.
Andrea Giudici, John S. Biggins
doaj   +1 more source

Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature [PDF]

open access: yesOpen Mathematics, 2014
We classify all helicoidal non-degenerate surfaces in Minkowski space with constant mean curvature and constant Gauss curvature whose generating curve is a graph of a polynomial or a Lorentzian circle.
López Rafael, Demir Esma
doaj   +2 more sources

Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group [PDF]

open access: yes, 2017
We use a Riemannnian approximation scheme to define a notion of intrinsic Gaussian curvature for a Euclidean C2 -smooth surface in the Heisenberg group H away from characteristic points, and a notion of intrinsic signed geodesic curvature for Euclidean ...
Tyson, Jeremy T   +5 more
core   +1 more source

PAPER MODELS OF SURFACES WITH CURVATURE CREATIVE VISUALIZATION LABS BALTIMORE JOINT MATHEMATICS MEETINGS [PDF]

open access: yes, 2009
A model of a cone can be constructed from a piece of paper by removing a wedge and taping the edges together. The paper models discussed here expand on this idea (one or more wedges are added and/or removed).
ISERI, HOWARD
core   +1 more source

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