On Ricci flat warped products with a quarter-symmetric connection

被引：6

作者：

Pahan, Sampa ^{[1
]}

Pal, Buddhadev ^{[2
]}

Bhattacharyya, Arindam ^{[1
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata 700032, India

[2] Univ Calcutta, Dept Pure Math, Kolkata 700019, India

来源：

JOURNAL OF GEOMETRY | 2016年 / 107卷 / 03期

关键词：

Einstein manifold; quarter-symmetric connection; multiply warped product; warping function;

D O I：

10.1007/s00022-015-0301-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we have computed the warping functions for a Ricci flat Einstein multiply warped product spaces M with a quarter-symmetric connection for different dimensions of M [i.e; (1). dim M = 2, (2). dimM = 3, (3). dimM >= 4] and all the fibers are Ricci flat.

引用

页码：627 / 634

页数：8