期刊文献+
共找到3篇文章
< 1 >
每页显示 20 50 100
Notes concerning Codazzi pairs on almost anti-Hermitian manifolds
1
作者 Aydin Gezer Hasan Cakicioglu 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2023年第2期223-234,共12页
Let∇be a linear connection on a 2n-dimensional almost anti-Hermitian manifold M equipped with an almost complex structure J,a pseudo-Riemannian metric g and the twin metric G=g◦J.In this paper,we first introduce three... Let∇be a linear connection on a 2n-dimensional almost anti-Hermitian manifold M equipped with an almost complex structure J,a pseudo-Riemannian metric g and the twin metric G=g◦J.In this paper,we first introduce three types of conjugate connections of linear connections relative to g,G and J.We obtain a simple relation among curvature tensors of these conjugate connections.To clarify the relations of these conjugate connections,we prove a result stating that conjugations along with an identity operation together act as a Klein group,which is analogue to the known result for the Hermitian case in[2].Secondly,we give some results exhibiting occurrences of Codazzi pairs which generalize parallelism relative to∇.Under the assumption that(∇,J)being a Codazzi pair,we derive a necessary and sufficient condition the almost anti-Hermitian manifold(M,J,g,G)is an anti-K¨ahler relative to a torsion-free linear connection∇.Finally,we investigate statistical structures on M under∇(∇is a J−parallel torsion-free connection). 展开更多
关键词 anti-kahler structure Codazzi pair conjugate connection twin metric statistical structure
下载PDF
Dual-holomorphic Functions and Problems of Lifts
2
作者 Arif SALIMOV Seher ASLANCI Fidan JABRAILZADE 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2022年第2期223-232,共10页
The main purpose of this paper is to study the differential geometrical objects on tangent bundle corresponding to dual-holomorphic objects of dual-holomorphic manifold.As a result of this approach,the authors find a ... The main purpose of this paper is to study the differential geometrical objects on tangent bundle corresponding to dual-holomorphic objects of dual-holomorphic manifold.As a result of this approach,the authors find a new class of lifts(deformed complete lifts)in the tangent bundle. 展开更多
关键词 Dual numbers Tangent bundle Complete lift Dual-holomorphic functions anti-kahler manifold
原文传递
拟复空型中反不变子流形的一些结果
3
作者 黄城超 《复旦学报(自然科学版)》 CAS CSCD 北大核心 1991年第4期429-436,共8页
运用经典张量分析方法,讨论拟复空型中反不变子流形结果如下:设拟复空型Q(a,b)的母向量和复母向量分别为p,q,M是Q(a,b)中余二维反不变子流形。且M的法空间(?)有平坦的法连络。若M关于p是脐点的,则M关于q是拟脐及是共形平坦的,且M中存在... 运用经典张量分析方法,讨论拟复空型中反不变子流形结果如下:设拟复空型Q(a,b)的母向量和复母向量分别为p,q,M是Q(a,b)中余二维反不变子流形。且M的法空间(?)有平坦的法连络。若M关于p是脐点的,则M关于q是拟脐及是共形平坦的,且M中存在一个以它的第二基本量的特征向量为法向量的常曲率全脐超曲面M_1。 展开更多
关键词 黎曼几何 拟复空型 反不变子流形
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部