supported by National Natural Science Foundation of China (Grant Nos. 12101467 and 12171373)。
Given a doubling weightωon the unit disk D,let A_(ω)^(p) be the space of all the holomorphic functions f,where∥f∥A_(ω)^(p):=(∫_(D)|f(z)|_(p)ω(z)dA(z))^(1/p)<∞.We completely characterize the topological connect...
In this article, we focus on the left translation actions on noncommutative compact connected Lie groups with topological dimension 3 or 4, consisting of SU(2), U(2), SO(3), SO(3)×S^(1) and Spin ^(C)(3). We define th...
supported by National Natural Science Foundation of China(Grant Nos.11821101 and 11771331);Beijing Natural Science Foundation(Grant No.1182006)。
When a closed Finsler manifold admits continuous isometric actions,estimating the number of orbits of prime closed geodesics seems a more reasonable substitution for estimating the number of prime closed geodesics.To ...
Lazi was supported by the DFG-Emmy-Noether-Nachwuchsgruppe“Gute Strukturen in der h¨oherdimensionalen birationalen Geometrie”;Peternell was supported by the DFG grant“Zur Positivit¨at in der komplexen Geometrie”
We establish a conjecture of Mumford characterizing rationally connected complex projective manifolds in several cases.
supported by National Natural Science Foundation of China(Grant Nos.11531007 and 11401335);Start-Up Fund from Tsinghua University and Tsinghua University Initiative Scientific Research Program
Let X1 and X2 be two compact connected strongly pseudoconvex embeddable Cauchy-Riemann (CR) manifolds of dimensions 2m - 1 and 2n - 1 in Cm+l and Cn+l, respectively. We introduce the Thom- Sebastiani sum X = X1 X2...
supported by the Start-Up Fund from Tsinghua University and National Natural Science Foundation of China(Grant No.11401335)
Strongly pseudoconvex CR manifolds are boundaries of Stein varieties with isolated normal singularities.We introduce a series of new invariant plurigeneraδm,m∈Z+for a strongly pseudoconvex CR manifold.The main purpo...
supported by Scientific Research Fund of Hubei Provincial Education Department (Grant No. Q20141609);National Natural Science Foundation of China (Grant Nos. 11371162 and 11271149);Wuhan Textile University (2012)
A tree with at most m leaves is called an m-ended tree.Kyaw proved that every connected K1,4-free graph withσ4(G)n-1 contains a spanning 3-ended tree.In this paper we obtain a result for k-connected K1,4-free graphs ...
supported by National Natural Science Foundation of China (Grant Nos.11071096 and 11271149);Hubei Provincial Department of Education (Grant No. D20111110);Jinan Science and Technology Bureau (Grant No. 20110205)
For non-negative integers i,j and k,let N i,j,k be the graph obtained by identifying end vertices of three disjoint paths of lengths i,j and k to the vertices of a triangle.In this paper,we prove that every 3-connecte...
supported by National Natural Science Foundation of China (Grant No.10771034);Tian Yuan Foundation of China (Grant No.10926173);Fujian Natural Science Foundation (GrantNo.2009J05002)
This paper studies the structure of operators on Σ1e type Banach spaces.It solves the problem of the small compact perturbations of operators with connected spectra.Namely,it shows that every operator with a connecte...
In this paper we mainly prove that let G be a(k+1)-edge-connected simple graph of order n with girth g.Then G is upper embeddable if for any independent set I(G) = {vi | 1 i k2 + 2},k = 0,1,2 and the lower bound is ti...