homotopy sphere

To determine the stable homotopy groups of spheres is not only one of the central problems in homotopy theory,but also a very difficult problem.

决定球面稳定同伦群是同伦中的一个中心问题,同时也是非常困难的问题之一。

The paper studies the nontriviality of homotopy elements β_2γ_s in the stable homotopy of spheres.

本文研究了球面稳定同伦中同伦元素β2γs的非平凡性。

This paper proves the existence of a new family of nontrivial homotopy elements in the stable homotopy of spheres which is of degree 2(p-1)(sp 2+(s+1)p+(s-2))-6 and is represented by b 0h 1 s in the E s+3,* 2 -term of the Adams spectral sequence,where p≥7 is an odd prime,3≤s<p.

证明在Adams谱序列中 ,积b0 h1 γs∈Exts + 3 ,sp2 q + (s+ 1)pq+ (s-2 )q + (s-3 )A (Zp,Zp)收敛到球面稳定同伦群π S中的一个新的非零的稳定元素族 ,其中 3≤s

In this thesis,a class of isoparametric hypersurfaces in the Lorentzian sphere S51 are studied.

研究(5维洛伦兹球面)中的Ⅲ型洛伦兹等参超曲面。

In this thesis, Lorentzian isoparametric hypersurfaces in the Lorentzian sphere S_1~(n+1) are studied.

本文研究洛伦兹球面S_1~(n+1)中的Ⅱ型洛伦兹等参超曲面。

Isoparametric Hypersurfaces of Type Ⅲ in the Lorentzian Spheres;

洛伦兹球面中的Ⅲ型洛伦兹等参超曲面

Lorentzian Isoparametric Hypersurfaces of Type Ⅱ in Lorentzian Spheres;

洛伦兹球面中的Ⅱ型洛伦兹等参超曲面

Lorentz-Lorenz equation

洛伦兹－洛伦茨方程

lorenz lorentz's formula

洛伦茨 洛伦兹公式

Cartan Identity of I-type Lorentzian Iso Parametric Hypersurface In Lorentzian Space Form S_1~(n+1);

洛伦兹空间型S_1~(n+1)中的Ⅰ型洛伦兹等参超曲面的Cartan等式

Cartan Identity of II-type Lorentzian Isoparametric Hypersurface in Lorentzian Space Form S_1~(n+1)

洛伦兹空间型S_1~(n+1)中的Ⅱ型洛伦兹等参超曲面的Cartan恒等式

Type IV Lorentzian Isoparametric Hypersurface in;

R_1~(n+1)中的型洛伦兹等参超曲面

Lorentz-Boltzmann equation

洛伦兹－玻耳兹曼方程

Umbilical Lorentzian Isoparametric Hypersurfaces of Type II in S_1~(n+1)

S_1~(n+1)中的Ⅱ型全脐洛伦兹等参超曲面

Lorentz-Heaviside system

洛伦兹－海维西特单位制

hyperbolic form of Lorentz transformation

洛伦兹变换的双曲形式

Lorentz line-splitting theory

洛伦兹谱线劈裂理论

heaviside lorentz's system of units

亥维赛洛伦兹单位制

lorentz invariant momentum space

洛伦兹不变动量空间

Lorentz invariant electromagnetic mass

洛伦兹不变电磁质量

Lorentz-Lorenz molar refraction

洛伦兹－洛伦茨摩尔折射率

We shall discuss several of them below with the help of the Lorentz transformation.

下面，我们借助于洛伦兹变换来讨论其中的几个结果。

The Transformation Equations of Electromagnetic Field from the Formula of Lorents Force;

从洛伦兹力公式导出电磁场变换方程