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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Integral equations with bubble-type kernel via the method of moving spheres
运动球体 气泡型核 积分方程
2023/4/27
In this talk, I will describe a moving sphere approach to a class of integral equations with bubble-type kernel. This class of equations comes from higher-order elliptic equations on the standard sphe...
Experimental determination of the coefficient of restitution for meter-scale granite spheres
Asteroids Collisional physics Experimental techniques Planetary formation Planetary rings
2015/12/25
We present results of a series of large-scale experiments to measure the coefficient of restitution for 1-m-diameter rocky bodies in impacts with collision speeds up to 1.5 m s1. The experiments wer...
Stretching Three-Holed Spheres and the Margulis Invariant
Margulis Invariant Three-Holed Spheres
2015/9/29
This paper applies the authors’ forthcoming work, ”Affine deformations of a three-holed sphere” in Lorentzian geometry to prove a result in
hyperbolic geometry. Namely, an infinitesimal de...
For any linear quotient of a sphere, X = Sn−1/Γ, where Γ is an elementary abelian p–group, there is a corresponding Fp representable matroid MX which only depends on the isometry class of X. Whe...
Aristotle’s rewinding spheres:Three options and their difficulties
Aristotle’s rewinding spheres Three options their difficulties
2015/3/26
Aristotle’s rewinding spheres:Three options and their difficulties.
Multiple parameters anomalies for verifying the geosystem spheres coupling effect: a case study of the 2010 Ms7.1 Yushu earthquake in China
Multi-parameters Geosystem spheres coupling effect Power spectrum density
2015/8/18
In the research of earthquake anomaly recognition, the coupling effect of multiple geosystem spheres can be expected to reasonably interpretating the correlation between various anomalous signals befo...
Maximization of the second conformal eigenvalue of spheres
Maximization the second conformal eigenvalue spheres Spectral Theory
2012/6/14
We establish in this paper an upper bound on the second eigenvalue of n-dimensional spheres in the conformal class of the round sphere. This upper bound holds in all dimensions and is asymptotically s...
The Complex of Non-separating embedded spheres
Complex of Non-separating embedded spheres Geometric Topology
2012/4/17
For n >2, we shall show that the group Aut(NS(M)) of simplicial automorphisms of the complex NS(M) of non-separating embedded spheres in the manifold M,connected sum of n copies of S^2 X S^1, isomorph...
Normal Collisions of Spheres: A Literature Survey on Available Experiments
Normal Collisions of Spheres Literature Survey Available Experiments
2012/4/19
The central collision between two solid spheres or the normal collision between a sphere and a plate are important to understand in detail before studying more complex particle interactions. Models ex...
Yang-Mills connections of cohomogeneity one on SO(n)-bundles over Euclidean spheres
Yang-Mills connections of cohomogeneity one SO(n)-bundles Euclidean spheres Differential Geometry
2011/9/23
Abstract: We construct Yang-Mills connections on SO(n)-bundles over spheres equipped with the Euclidean metric. We use a cohomogeneity one group action on the bundle to reduce the Yang-Mills-equation ...
Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres
homogeneous solutions Yamabe problem spheres Differential Geometry
2011/9/21
Abstract: We study existence and non existence of constant scalar curvature metrics conformal and arbitrarily close to homogeneous metrics on spheres, using variational techniques. This describes all ...
Classification of 3-bridge spheres of 3-bridge arborescent links
3-bridge spheres 3-bridge arborescent links Geometric Topology
2011/8/26
Abstract: In this paper, we give an isotopy classification of 3-bridge spheres of 3-bridge arborescent links, which are not Montesinos links. To this end, we prove a certain refinement of a theorem of...
Spheres with more than 7 vector fields: all the fault of Spin(9)
Spin(9) octonions vector fields on spheres
2011/8/24
Abstract: We give an interpretation in terms of the Lie group Spin(9) of the maximal number of linearly independent vector fields on odd dimensional spheres.
Effective Action and Phase Transitions in Thermal Yang-Mills Theory on Spheres
Confinement Nonperturbative Effects QCD
2011/3/2
We study the covariantly constant Savvidy-type chromomagnetic vacuum in finite-temperature
Yang-Mills theory on the four-dimensional curved spacetime. Motivated by the fact that a positive spatial cu...
On the existence of exotic homotopy 3-spheres
Homotopy spheres 3-manifold topology Morse theory
2011/1/17
This paper gives a geometric topological proof that exotic ho-motopy 3-spheres do not exist.