共查询到20条相似文献,搜索用时 15 毫秒
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本利用几何不等式和曲率估计的方法,证明了黎曼流形N^n+p,上的具有平行平均曲率的紧子流形M^n上的一个拼挤定理。若N上的截曲率KN满足- 1≤ KN≤δ≤0,且‖S- nH2‖n/2, ‖ S-nH^2‖n/n-s满足一些不等式,则δ= - 1。 相似文献
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A gap theorem on complete noncompact n-dimensional locally conformally flat Riemannian manifold with nonnegative and bounded Ricci curvature is proved.If there holds the following condition:integral(sk(x0,s)ds= o(log r)) from n=0 to r then the manifold is flat. 相似文献
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研究局部对称共形平坦黎曼流形N^n+p(p≥2)中具有平等平均曲率向量的紧致子流形M^n的余维可约性问题,在n≥8的条件下得到了量佳拼挤常数. 相似文献
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The paper considers the asymptotic behaviour of the heat contentof a riemannian manifold M, when Dirichlet conditions are imposedon a small compact subset of M. 2000 Mathematics Subject Classification58J35, 35K05. 相似文献
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Lu YU-FENG YANG JUN 《东北数学》2009,25(2):159-164
In this paper we concern with the characterization of bounded linear operators S acting on the weighted Bergman spaces on the unit ball. It is shown that, if S satisfies the commutation relation STzi = Tzi(i =1,..,n), where Tzi = zif and Tzi= P(zif) where P is the weighted Bergman projection, then S must be a Hankel operator. 相似文献
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Yufeng Lu & Jun Yang 《数学研究通讯:英文版》2009,25(2):159-164
In this paper we concern with the characterization of bounded linear
operators $S$ acting on the weighted Bergman spaces on the unit ball. It is shown
that, if $S$ satisfies the commutation relation $ST_{z_i} = T_{\overline{z}_i}S(i = 1, · · · , n)$, where $T_{z_i} = z_if$ and $T_{\overline{z}_i} = P(\overline{z}_if)$ where $P$ is the weighted Bergman projection, then $S$ must be a Hankel operator. 相似文献
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复Banach空间中单位球上双全纯凸映射的偏差定理 总被引:1,自引:0,他引:1
本文讨论一般复Banach空间上单位球B的Caratheodory度量和Kobayashi 度量的性质,并据此将Cn(n≥1)中单位球Bn上双全纯凸映射的矩阵形式偏差定理 推广到一般复Banach空间的单位球B上. 相似文献
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我们在本文中研究非紧致一秩Riemann对称空间上初等球函数的渐近表示,并利用LohoueN.和RychnerTh.得到的热核表达式,建立起这类空间上的非欧中心极限定理,所得结果包含了Terras的定理作为其特例. 相似文献
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本文利用Nakagawa和Takagi的计算散度的方法,求出局部对称空间中具有平行平均曲率向量的黎曼叶状结构${\cal F}$上向量场的散度,并证明了其上的整体Pinching定理. 相似文献
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我们在本文中研究非紧致一秩Riemann对称空间上初等球函数的渐近表示,并利用Lohoue N.和Rychner Th.得到的热核表达式,建立起这类空间上的非欧中心极限定理,所得结果包含了Terras的定理作为其特例. 相似文献
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In this paper,we study gradient estimates for the nonlinear heat equation ut-△u =au log u,on compact Riemannian manifold with or without boundary.We get a Hamilton type gradient estimate for the positi... 相似文献
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当Hunt过程为半鞅时,建立了在Girsanov变换下的转移概率密度的表示公式,并给出了变换后过程的Levy系和无穷小生成元. 相似文献
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Let H2(γ) be the Hilbert space over the bidisk D2 generated by a positive sequence γ={γnm}n,m ≥ 0. In this paper, we prove that the Beurling type theorem holds for the shift operator on H2(γ) with γ={γnm}n,m ≥ 0 satisfying certain series of inequalities. As a corollary, we give several applications to a class of classical analytic reproducing kernel Hilbert spaces over the bidisk D2. 相似文献
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Our main result in this paper establishes that if G is a compact Lie subgroup of the isometry group of a compact Riemannian manifold M acting with cohomogeneity one in M and either G has no singular orbits or the singular orbits of G have dimension at most n−3, then the unit vector field N orthogonal to the principal orbits of G is weakly smooth and is a critical point of the energy functional acting on the unit normal vector fields of M. A formula for the energy of N in terms of the of integral of the Ricci curvature of M and of the integral of the square of the mean curvature of the principal orbits of G is obtained as well. In the case that M is the sphere and G the orthogonal group it is known that that N is minimizer. It is an open question if N is a minimizer in general. 相似文献
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S. E. Stepanov 《Journal of Mathematical Sciences》2002,110(4):2892-2906
T. Kashiwada and S. Tachibana defined conformal Killing p-forms on a Riemannian manifold of dimension
p \geqslant 1$$
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and generalized some results on conformal Killing vector fields to the case of such forms. In this paper, conformal Killing p-forms are defined with the help of natural differental operators on Riemannian manifolds and representations of orthogonal groups. The geometry of the vector space
of conformal Killing p-forms and of its two subspaces
of coclosed conformal Killing p-forms and
of closed conformal Killing p-forms are considered. Some local and global results due to Tachibana and Kashiwada about conformal Killing and Killing p-forms are generalized. An application to Hermitian geometry is given. Bibliography: 30 titles. 相似文献