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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Liouville Properties on gradient shrinking Ricci solitons with constant scalar curvature
常标量 曲率梯度收缩 Ricci孤子 Liouville性质
2023/11/13
In this talk we show that bounded harmonic functions are constant on gradient shrinking Ricci solitons with CSC by frequency function method. As an application, we show that the space of harmonic func...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The constant rank theorem and its applications
常秩定理 半线性方程组 规定曲率 克里斯托费尔-闵可夫斯基问题 魏因加滕曲率问题
2023/5/6
The constant rank theorem was initially developed by Caffarelli-Friedman in 1985 in two-dimensions for convex solutions of semilinear equations. Later, Korevaar-Lewis extended the result to higher dim...
THE LOOPING CONSTANT OF Zd
LOOPING CONSTANT Zd
2015/8/14
The looping constant ξ(Zd) is the expected number of neighbors of the origin that lie on the infinite loop-erased random walk in Zd.Poghosyan, Priezzhev and Ruelle, and independently, Kenyon and Wilso...
A large class of non constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold
Asymptotically hyperbolic manifold Constraint equations Conformal method
2011/3/2
We construct solutions of the constraint equation with non constant mean curvature on an
asymptotically hyperbolic manifold by the conformal method. Our approach consists in decreasing a certain expo...
Approximating the Hard Square Entropy Constant with Probabilistic Methods
Square Entropy Constant Probabilistic Methods
2010/11/15
For any two-dimensional nearest neighbor shift of finite type X and any integer n > 0, one can define the horizontal strip shift H_n(X) to be the set of configurations on Z x {1,...,n} which do not c...
AH3-manifolds of constant antiholomorphic sectional curvature
AH3-manifolds constant antiholomorphic sectional curvature
2010/12/6
The purpose of this paper is to prove that an AH3-manifold of constant antiholomorphic sectional curvature is a real space form or a complex space form.
Almost Kähler manifolds of constant antiholomorphic sectional curvature
Kä hler manifolds constant antiholomorphic sectional curvature
2010/12/6
We prove that an AK2-manifold of dimension 2m ≥ 6 and of pointwise constant antiholomorphic
sectional curvature is either a 6-dimensional manifold of constant negative sectional curvature or is local...
Nearly Kähler manifolds of constant antiholomorphic sectional curvature
Kä hler manifolds constant antiholomorphic sectional curvature
2010/12/6
In this paper we consider nearly K¨ahler manifolds of pointwise constant antiholomorphic
sectional curvature. An analogue of Schur’s theorem is proved and a classification theorem
for such manifolds...
On Some Finsler Metrics of Constant (or scalar) Flag Curvature
Finsler metric flag curvature Zermelo navi- gation problem constant curvature
2015/5/6
This paper gives a lot of new Finsler metrics of scalar curvature. In partic-ular, we show at least there is an n(n−1)2-dimensional family of new Finsler metrics of constant flag curvature.
Pseudo almost periodic solutions of a singularly perturbed differential equation with piecewise constant argument
Singular perturbation Pseudo-almost periodic solutions Pseudo-almost periodic sequences Piecewise constant argument
2007/12/11
Under suitable assumptions, the existence and the uniqueness of the pseudo-almost periodic solution for a singularly perturbed differential equation with piecewise constant argument are obtained. In a...