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Imagine a tiny donut-shaped droplet, covered with wriggling worms. The worms are packed so tightly together that they must locally line up with respect to each other. In this situation, we would say t...
When thermal energies are weak, two-dimensional lamellar structures confined on a curved substrate display complex patterns arising from the competition between layer bending and compression in the pr...
FAYETTEVILLE, Ark. – An international team of physicists, led by a research group at the University of Arkansas, has discovered that heating can be used to control the curvature of ripples in freestan...
This is the main paper in a sequence in which, in collaboration with I. Rodnianski and J. Szeftel, we give a complete proof of the conjecture according to which the time of existence of solutions to t...
In this paper, several discrete schemes for Gaussian curvature are sur- veyed. The convergence property of a modi痚d discrete scheme for the Gaussian curvature is proved. Furthermore, a new discrete ...
The convergence characteristics of two viscous core corrections as used in straight-line segmentation methods are rigorously analysed. These are \emph{curvature corrections} that account for the induc...
We present a general formula for the Gaussian curvature of curved holomorphic 2-spheres in Grassmannian manifolds G(m, n). We then show how to construct such solutions with constant curvature. We also...
Abstract: We prove a generalisation of the $\epsilon$-property, namely that for any dimension and signature, a metric which is not characterised by its polynomial scalar curvature invariants, there is...
We clarify the behavior of curvature perturbations in a nonlinear theory in case the inflaton tem-porarily stops during inflation. We focus on the evolution of curvature perturbation on superhorizon s...
We clarify the behavior of curvature perturbations in a nonlinear theory in case the inflaton temporarily stops during inflation. We focus on the evolution of curvature perturbation on superhorizon sc...
We construct all the bulk and boundary unitary cubic curvature parity invariant gravity theories in three dimensions in (anti)-de Sitter spaces. For bulk unitarity, our construction is based on the p...
The curvature which characterizes the QCD phase transition at finite temperature and small values of the chemical potential is accessible to lattice simulations. The results for this quantity which ha...
We study cosmological dynamics and late-time evolution of an extended induced gravity braneworld scenario. In this scenario, curvature effects are taken into account via the Gauss-Bonnet term in the ...
The Weyl and Ricci tensors can be algebraically classified in a Lorentzian spacetime of arbitrary dimensions using alignment theory. Used in tandem with the boost weight decomposition and curvature op...
In supernova cores and neutron star crusts, nuclei are thought to deform to rod-like and slablike shapes, which are often called “nuclear pasta.” We study the equilibrium properties of the nuclear pas...

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