1) to tally real
Kaehler子流形、全实
2) Kaehler submanifolds
Kaehler子流形
1.
This paper discusses complete Kaehler submanifolds of complex projective space P n+p(1) with constant holomorphic sectional curvature 1, it generalizes the corresponding result of compact Kaehler submanifolds of P n+p(1).
讨论了具有常全纯截面曲率 1的n +p维复空间形式Pn+p(1)中的完备Kaehler子流形 ,对Pn+p(1)中紧致Kaehler子流形的相应结果作了推广 。
2.
This dissertatian is mainly concernd with several problems of Kaehler submanifolds and totally real submanifolds in complex projective space.
本文分两章研究了复射影空间CP~(n+p)中Kaehler子流形和全实子流形的若干问题。
3) Kaehler manifold
Kaehler流形
1.
In any H-projective recurrent Kaehler manifold HK , the curvature tensor can be ex-pressed by the vector of recurrent and its associated vector with respect to the complex structure tensorin the following wayor it can be given in terms of the recurrent vector and the Ricci tensor by the formIf the scalar curvature of HK manifold is different from zero,then the curvature tensor has the from o
本文研究H-射影循环Kaehler流形的性质,导出了该流形曲由张量的代数结构,从而深化了这类流形的已有结果。
2.
In this thesis,we study several problems of Kaehler submanifolds and totally real submanifolds in a locally symmetric Bochner-Kaehler manifold.
在本文中,我们研究了局部对称Bochner-Kaehler流形中Kaehler子流形和全实子流形的若干问题。
5) almost Kaehler manifolds
近Kaehler流形
1.
The study concerning the integrability of almost Kaehler manifolds is stemed from a well-known conjecture referred firstly by S.
关于近Kaehler流形可积性问题的研究是从S。
6) Kaehler Finsler manifold
Kaehler Finsler流形
1.
Based on the work of [12],[13], the author studies in this paper some geometric properties of complex Finsler hypersurface of a Kaehler Finsler manifold.
7):定理A设(M,F)为Kaehler Finsler流形,(M,F)为(M,F)的复Finsler超平面,则(M,F)的第二基本形式B(·,·)的系数B_(j;k)可表示为定理B设(M,F)为Kaehler Finsler流形, (M,F)为(M,F)的复Finsler超平面,且(M,F)不是全测地的,则的充分必要条件是定理C设(M,F)为Kaehler Finsler流形, (M,F)为(M,F)的复Finsler超平面,且(M,F)不是全测地的,D为(M,F)的复Rund联络,则M_j_i=0的充分必要条件是:D在(M,F)上的诱导复线性联络(?)与(M,F)的内蕴复Rund联络(?)相同。
补充资料：全测地流形
全测地流形
totally - geodesic manifold
全测地流形[tot叨y一ge映sicm田创ud;。。助。e reo八e-3“，ec肋e MH0r006p幻Ile]，全测地子流形(to七山y-罗团es ic subl几In面kl) Rle~空间(Ri~~nsPace)v“中的一个子流形M”，使得M”中的测地线(geodesic ljl犯)也是VN中的测地线.全测地子流形M’‘是用如下的特征来刻画的:对M”的每个法向量，其相应的第二基本形式(second fundametal form)为零;这等价于M”的所有法曲率为零.M.n.Bo如以oBcK浦撰【补注】一般Riem以11们流形中全测地子流形的存在是例外情形.反之，许多这种全测地子流形的存在在近期的各种研究中被用来刻画某些特殊流形，例如对称空问.见【Al}，
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条