共查询到20条相似文献,搜索用时 9 毫秒
1.
本文研究了殆Kaehler流形中CR子流形的上同调、CR子波形的分布D及其正交补D⊥的维数大于1的时候,近Kaehler流形中每个全脐非平凡的CR子流形一定是全测地的。最后得到:如果M^~是具有H^~B>0的近Kaehler流形,那么M^~不允许有混合叶层非凡的CR子流形。 相似文献
2.
We characterize homogeneous real hypersurfaces M's of type (A
1), (A
2) and (B) of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution T
0
M of M. 相似文献
3.
Let D be a domain obtained by a holomorphic motion of a domain D
p M
p
n–1
along a complex curve P in a complex space form M
n
. We prove that, if n= 2, the volume of D depends only on the geometry of D
p and the intrinsic geometry of P, but not on the extrinsic geometry of P. When M is closed (compact without boundary), then the dependence on P is only through its topology. When n > 2, and for arbitrary domains D
p, a similar result holds only for Frenet motions, but when D
p has certain integral symmetries (and only in this case) this result is still true for any motion . 相似文献
4.
N. A. Daurtseva 《Mathematical Notes》2005,78(1-2):59-63
Let (M, g
0) be a smooth closed Riemannian manifold of even dimension 2n admitting an almost complex structure. It is shown that the space
of all almost complex structures on M determining the same orientation as the one determined by a fixed almost complex structure J
0 is a smooth locally trivial fiber bundle over the space
of almost complex structures orthogonal with respect to g
0 and determining the same orientation as J
0.__________Translated from Matematicheskie Zametki, vol. 78, no. 1, 2005, pp. 66–71.Original Russian Text Copyright © 2005 by N. A. Daurtseva. 相似文献
5.
Elisabetta Barletta 《Annals of Global Analysis and Geometry》2002,22(2):99-118
We study CR submanifolds M in a Hopf manifold (C
H
N
(), J
0, g
0) with the Boothby metric g
0,of maximal CR dimension. Any such M is a CR manifold ofhypersurface type, although embedded in higher codimension, and itsanti-invariant distribution H(M) is spanned by a unit vectorfield U. We classify the CR submanifolds M for which = –J
0
Uis parallel in the normal bundle under assumptions on thespectrum of the Weingarten operator a
. We show that (1) ifa
(U) = (1/2)A (where A is the anti-Lee vector) andM fibres in tori over a CR submanifold of the complex projectivespace, then M lies on the (total space of the) pullback of the Hopf fibration via S C
P
N – 1, for some geodesic hypersphere S, and (2) if a
(U)= 0 and Spec(a
) = {0, c}, for some c R {0}, then M is locally a Riemannian product of totally geodesicsubmanifolds. 相似文献
6.
Chia Kuei PENG Zi Zhou TANG 《数学学报(英文版)》2005,21(6):1459-1464
We obtain and apply a simple form of the integrability condition of an almost complex structure to the Hopf manifolds. 相似文献
7.
8.
Luis A. Cordero Marisa Fernández Raúl Ibáñez Luis Ugarte 《Annals of Global Analysis and Geometry》2000,18(3-4):265-290
In this paper we consider complex Poisson manifolds and extendthe concept of complex Poisson structure, due to Lichnerowicz to themore general concept of almost complex Poisson structures. Examples ofsuch structures and the associated generalized foliation are given.Moreover, some properties of the complex symplectic structures as wellas of the holomorphic complex Poisson structures are studied. 相似文献
9.
10.
11.
We establish necessary and sufficient conditions for the system of values of a holomorphic vector function to be complete in a Fréchet space. The results obtained are illustrated by several examples. 相似文献
12.
In this paper, the notion of almost fuzzy compactness is defined in L-fuzzy topological spaces by means of inequality, where L is a completely distributive DeMorgan algebra. Its properties are discusse... 相似文献
13.
在本文中,通过外围空间的适当保角变形,我们证明了,每个Riemann子流形可以被认作一个极小子流形,我们还研究了这样得到的子流形的稳定性,定理2和3推广了Schoen和S.TYan[2]的结论. 相似文献
14.
We prove that the classical integrability condition for almost complex structures on finite-dimensional smooth manifolds also works in infinite dimensions in the case of almost complex structures that are real analytic on real analytic Banach manifolds. With this result at hand, we extend some known results concerning existence of invariant complex structures on homogeneous spaces of Banach–Lie groups. By way of illustration, we construct the complex flag manifolds associated with unital C*-algebras.Mathematics Subject Classifications (2000): primary 32Q60; secondary 53C15, 58B12. 相似文献
15.
给定g∈H(D),我们刻画了H1,∞空间到混合模空间以及Bloch型空间(或小Bloch型空间)上一类积分算子Lg的有界性和紧性.此处Lgf(z)=∫0zf′(t)g(t)dt. 相似文献
16.
Yanbin Yin & Ling Liu 《数学研究通讯:英文版》2016,32(2):111-116
Generalized complex geometry is a new kind of geometrical structure which contains complex and symplectic geometry as its special cases. This paper gives the equivalence between the integrable conditions of a generalized almost complex structure in big bracket formalism and those in the general framework. 相似文献
17.
Itiswell-knownthattheanalyticfunctionwithpositiverealpartintheunitdiscofthecomplexplaneplaysaveryimportantroleinthegeometrictheoryofcomplexvariablefunc-tions.Ithasbeenremarkablehowtoextendtheclassicalresultofthetheoryoffunctionstoabstractspacesinrecentyears[2].Inthisnotewedefineageneralizedhalf-planeinHilbertspaceandfindthebiholomorphicmapoftheunitballonHilbertspaceontothishalf-plane.Asacorollary,wegiveashortproofofaresultin[5].UsingtheaboveholomooorphicmapweobtainthedistortiontheoremandPick… 相似文献
18.
Christopher Boyd 《Czechoslovak Mathematical Journal》2003,53(2):365-376
For U a balanced open subset of a Fréchet space E and F a dual-Banach space we introduce the topology on the space
of holomorphic functions from U into F. This topology allows us to construct a predual for
which in turn allows us to investigate the topological structure of spaces of vector-valued holomorphic functions. In particular, we are able to give necessary and sufficient conditions for the equivalence and compatibility of various topologies on spaces of vector-valued holomorphic functions. 相似文献
19.
本文讨论了多复变中混合赋范空间、Dirichlet型空间、Bloch型空间等全纯函数空间的一些等价刻画,获得了一系列充要条件. 相似文献
20.
TheBergmanKernelFunctionandFullGroupofHolomorphicAutomorphismonaReinhardtDomainGuanBinxin(管冰辛)WangAn(王安)(Dept.ofMath.,Capital... 相似文献