THE GEOMETRY OF PRODUCT CONJUGATE CONNECTIONS

被引：12

作者：

Blaga, Adara M. ^{[1
]}

Crasmareanu, Mircea ^{[2
]}

机构：

[1] West Univ Timisoara, Dept Math & Comp Sci, Timisoara 300223, Romania

[2] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA | 2013年 / 59卷 / 01期

关键词：

almost product structure; (conjugate) linear connection; almost product Riemannian manifold; structural and virtual tensor field;

D O I：

10.2478/v10157-012-0026-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Properties of pairs of product conjugate connections are stated with a special view towards the integrability of the given almost product structure. We define the analogous in product geometry of the structural and the virtual tensors from the Hermitian geometry and express the product conjugate connections in terms of these tensors. Some examples from the geometry of a pair of complementary distributions are discussed and for this case the above structural and virtual tensors are expressed in terms of O'Neill-Gray tensor fields.

引用

页码：73 / 84

页数：12

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