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Classifications of Dupin hypersurfaces in Lie sphere geometry
This is a survey of local and global classification results concerning Dupin hypersurfaces in S n (or R n ) that have been obtained in the context of...
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Singularities of Flat Dual Surfaces of Cuspidal Edges in the Three-Sphere from Duality Viewpoint
We focus on investigating the differential geometric properties of cuspidal edge in the three-sphere from a viewpoint of duality. Using Legendrian...
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Impact of Couple Stresses on Slow Rotation of a Slip Sphere: Brinkman’s Medium
The impact of couple stresses on the rotation of solid sphere in Brinkman’s model with slip influence is analytically solved. The tangential slip and...
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Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid
Affine transformations in Euclidean space generate a correspondence between integrable systems on cotangent bundles to a sphere, ellipsoid and...
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Rigidity and deformation of generalized sphere packings on 3-dimensional manifolds with boundary
Motivated by Guo–Luo’s generalized circle packings on surfaces with boundary (Guo–Luo in Geom Topol 13(3):1265–1312, 2009), we introduce the...
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Thermal stresses in an orthotropic hollow sphere under thermal shock: a unified generalized thermoelasticity
This paper deals with the thermoelasticity problem in an orthotropic hollow sphere. A unified governing equation is derived which includes the...
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Gradient projection method on the sphere, complementarity problems and copositivity
By using a constant step-size, the convergence analysis of the gradient projection method on the sphere is presented for a closed spherically convex...
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Generalised Wendland functions for the sphere
In this paper, we compute the spherical Fourier expansion coefficients for the restriction of the generalised Wendland functions from d -dimensional...
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Mathematical Model of Flow Past a Sphere with Modified Boundary Slip Condition
AbstractThe problem of a slow Stokes flow past a sphere with modified slip condition on its surface is solved. The new boundary condition on the...
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Error Estimate for Semi-implicit Method of Sphere-Constrained High-Index Saddle Dynamics
The authors prove error estimates for the semi-implicit numerical scheme of sphere-constrained high-index saddle dynamics, which serves as a powerful...
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A DCA-Newton method for quartic minimization over the sphere
In this paper, a method for quartic minimization over the sphere is studied. It is based on an equivalent difference of convex (DC) reformulation of...
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Minimal Legendrian surfaces in the tangent sphere bundle of ℝ3
In this paper, we study minimal Legendrian surfaces Σ immersed in the tangent sphere bundle T 1 ℝ 3 . We classify (1) totally geodesic Legendrian...
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Asymptotic Solutions to the Hartree Equation Near a Sphere. Asymptotics of Self-Consistent Potentials
We consider the eigenvalue problem for the Hartree operator with a small nonlinearity coefficient. We find asymptotic eigenvalues and asymptotic...
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Interpolation on the cubed sphere with spherical harmonics
We consider Lagrange interpolation with Spherical Harmonics of data located at the equiangular Cubed Sphere nodes. An approach based on a suitable...
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A Reliable Iteration Algorithm for One-Bit Compressive Sensing on the Unit Sphere
The one-bit compressed sensing problem is of fundamental importance in many areas, such as wireless communication, statistics, and so on. However,...
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Turing pattern formation on the sphere is robust to the removal of a hole
The formation of buds on the cell membrane of budding yeast cells is thought to be driven by reactions and diffusion involving the protein Cdc42....
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A Survey on Lagrangian Submanifolds of Nearly Kaehler Six-Sphere
We first review the nearly Kaehler structure on the six-dimensional unit sphere... -
Free Convection of a Radiating MHD Nanofluid Past a Solid Sphere with Energy Transfer in a Porous Medium
An attempt has been made to investigate the hydromagnetic free convection of nanofluid in the vicinity of the lower deflation tip of a sphere which...