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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Homological instability for the moduli space of smooth 4-manifolds
光滑 4-流形模空间 同调不稳定性
2023/5/5
The moduli space of a smooth manifold X is defined to be the classifying space of its diffeomorphism group. Understanding the cohomology group of this space is important because elements in this group...
CR submanifolds of maximal CR dimension of a complex space form with recurrent shape operator
Complex space form CR submanifold of maximal CR dimension
2011/2/28
Let M be a CR submanifold of maximal CR dimension of a complex space form M. The shape operator A of the distinguished vector field is recurrent if there exists a 1-form v such that ∇A = A X...
Non-existence of CR submanifolds of maximal CR dimension satisfying RA = 0 in non-flat complex space forms
Complex space form CR submanifold of maximal CR dimension
2011/2/25
It has been proved that there are no real hypersurfaces satisfying RA =0 in non-flat complex space forms. In this paper we prove that the same is true in the case of CR submanifolds of maximal CR dime...
Geometry of CR submanifolds of maximal CR dimension in complex space forms
Complex space form CR submanifold of maximal CR dimension
2011/2/24
On real hypersurfaces in complex space forms many results are proven.In this paper we generalize some results concerning extrinsic geometry of real hypersurfaces, to CR submanifolds of maximal CR dime...
Comparisons and asymptotics for empty space hazard functions of germ-grain models
germ-grain model empty space hazard rate spherical distance
2011/1/21
We study stochastic properties of the empty space for stationary germ-grain models in Rd, in particular we deal with the inner radius of the empty space with respect to a general structuring element w...
Factorization semigroups and irreducible components of Hurwitz space. II
Factorization semigroups Hurwitz space. II
2010/11/22
This article is a continuation of the article with the same title (see arXiv:1003.2953v1). Let {\rm $\text{HUR}_{d,t}^{G}(\mathbb P^1)$} be the Hurwitz space of degree $d$ coverings of the projective...
Kaehler immersions of homogeneous Kaehler manifolds into complex space forms
Kä hler metrics infinite dimensional complex space forms
2010/12/9
In this paper we study the homogeneous Kähler manifolds (h.K.m.) which can be Kähler immersed into finite or infinite dimensional complex space forms. On one hand we completely classify the
...
Analytical three-dimensional bright solitons and soliton-pairs in Bose-Einstein condensates with time-space modulation
Analytical three-dimensional bright solitons soliton-pairs in Bose-Einstein condensates time-space modulation
2010/12/15
We provide analytical three-dimensional bright multi-soliton solutions to the (3+1)-dimensional
Gross-Pitaevskii (GP) equation with time and space-dependent potential, time-dependent nonlinearity,and...
Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model
space wave function Algebraic Bethe Ansatz inhomogeneous six-vertex model
2010/4/1
We derive the coordinate space wave function for the inhomogeneous six-vertex model from the Algebraic Bethe Ansatz. The result is in agreement with the result first obtained long time ago by Yang and...
Essential Spectra of Composition Operators on the Space of Bounded Analytic Functions
Essential Spectra Bounded Analytic Functions Composition Operators
2010/2/25
In this small note we characterize the essential spectra of a class of composition operators on H\infty(H) of the upper half-plane H and on H\infty(D) of the unit disc D. These composition operators a...
On Non-Existence of Korovkin's Theorem in the Space of Lp-locally Integrable Functions
Linear positive operators Korovkin-type theorem Weighted Lp(loc) space
2010/3/1
It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.