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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...
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 ...
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 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 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...
We discuss how the curvature and the strain density of the atomic lattice generate the quantization of graphene sheets as well as the dynamics of geometric quasiparticles propagating along the constan...
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 h...
We study cosmological dynamics and late-time evolution of an extended induced grav-ity braneworld scenario. In this scenario, curvature effects are taken into account via the Gauss-Bonnet term in the...
The geometry of a light wavefront evolving from a flat wavefront under the action of weak gravity field in the 3-space associated to a post-Newtonian relativistic spacetime, is studied numerically by ...
We derive an effective Hamiltonian for a quantum system constrained to a submanifold (the constraint manifold) of configuration space (the ambient space) by an infinite restoring force. We pay specia...
2005Vol.43No.4pp.604-606DOI: Vortex of Fluid Field as Viewed from Curvature LIU Shi-Da, SHI Shao-Ying, LIU Shi-Kuo, FU Zun-Tao, LIANG Fu-Ming, and XIN Guo-Jun School of...
2004Vol.42No.6pp.814-816DOI: Solitary Wave and Wave Front as Viewed From Curvature LIU Shi-Kuo, FU Zun-Tao, LIU Shi-Da, LIANG Fu-Ming, and XIN Guo-Jun School of Physics,...

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