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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Regularity of sub-elliptic harmonic map into non-positively curved metric space
亚椭圆谐波 非正曲线 度量空间 规律性
2023/4/28
We prove the Holder continuity of a harmonic map from a domain of a sub-Riemannian manifold into a locally compact manifold with non-positive curvature, and more generally into a non-positively curved...
A Greedy Algorithm for Feedrate Planning of CNC Machines along Curved Tool Paths with Conned Jerk
Feedrate optimization parametric tool path conned jerk velocity limit surface analytical solutions for feedrate function
2013/9/9
In this paper, the problem of optimal feedrate planning along a curved tool path for 3-axis CNC machines with the acceleration and jerk limits for each axis and the tangential velocity bound is addres...
A generalized Peierls-Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu
Dislocation dislocation structures micromechanical modeling Peierls-Nabarro model
2012/8/8
In this paper, we present a generalized Peierls-Nabarro model for curved dislo-
cations. In the generalized Peierls-Nabarro model, the anisotropic elastic energy is
obtained e±ciently by solving the...
Optimal Riemannian metric for a volumorphism and a mean ergodic theorem in complete global Alexandrov nonpositively curved spaces
Optimal Riemannian metric volumorphism mean ergodic theorem complete global Alexandrov nonpositively curved spaces Differential Geometry
2012/6/15
In this paper we give a natural condition for when a volumorphism on a Riemannian manifold $(M,g)$ is actually an isometry with respect to some other, optimal, Riemannian metric $h$. We consider the n...
Nonpositively curved manifolds containing a prescribed nonpositively curved hypersurface
Nonpositively curved manifolds prescribed nonpositively curved hypersurface Differential Geometry
2012/6/9
We use pinched smooth hyperbolization to show that every closed, nonpositively curved $n$-dimensional manifold $M$ can be embedded as a totally geodesic submanifold of a closed, nonpositively curved $...
Stability of Stationary Wave Maps from a Curved Background to a Sphere
Stability of Stationary Wave Maps Curved Background Sphere
2012/4/18
We study time and space equivariant wave maps from $M\times\RR\rightarrow S^2,$ where $M$ is diffeomorphic to a two dimensional sphere and admits an action of SO(2) by isometries. We assume that metri...
Curved noncommutative torus and Gauss--Bonnet
noncommutative torus Gauss--Bonnet Quantum Algebra
2012/4/18
We study perturbations of the flat geometry of the noncommutative two-dimensional torus T^2_\theta (with irrational \theta). They are described by spectral triples (A_\theta, \H, D), with the Dirac op...
Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces
Moment inequalities trigonometric polynomials spectrum curved hypersurfaces
2011/8/26
Abstract: Using the multilinear theory of oscillatory integral operators, we establish a square function inequality with implications to moment inequalities for discrete exponential sums which frequen...
How Geometry Controls the Tearing of Adhesive Thin Films on Curved Surfaces
Geometry Controls Curved Surfaces Adhesive Thin Films Tearing
2011/7/7
Flaps can be detached from a thin film glued on a solid substrate by tearing and peeling. For flat substrates, it has been shown that these flaps spontaneously narrow and collapse in pointy triangular...
The goal of this paper is to present a formalism that allows to handle fourfermion effective theories at finite temperature and density in curved space. The formalism is based on the use of the effect...
Polygonal Homographic Orbits of the Curved n-Body Problem
Polygonal Homographic Orbits Curved n-Body Problem
2011/1/20
In the 2-dimensional n-body problem in spaces of constant curvature, 6= 0, with n ≥ 3, we study polygonal homographic solutions.
A curved Brunn--Minkowski inequality on the discrete hypercube
A curved Brunn--Minkowski inequality discrete hypercube
2010/11/24
We compare two approaches to Ricci curvature on non-smooth spaces, in the case of the discrete hypercube $\{0,1\}^N$. While the coarse Ricci curvature of the first author readily yields a positive va...
We study the Cheeger constant and Cheeger set for domains obtained as strip-like neighbourhoods of curves in the plane. If the reference curve is complete and finite (a "curved annulus"), then the st...
Locally nearly spherical surfaces are almost-positively $c$-curved
Locally nearly spherical surfaces almost-positively $c$-curved
2010/12/8
The c-curvature of a complete surface with Gauss curvature close to 1 in C2 norm is almost-positive (in the sense of Kim–McCann). Our proof goes by a careful case by case analysis combined with pertur...
QFT on homothetic Killing twist deformed curved spacetimes
QFT on homothetic Killing twist curved spacetimes
2010/11/30
We study the quantum field theory (QFT) of a free, real and massless scalar field on self-similar symmetric spacetimes, which are deformed by an abelian Drinfel’d twist constructed
from a Killing and...