On the Curvature Properties of Manifolds with Deformed G 2 Structures

被引：0

作者：

Ozdemir, N. ^{[1
]}

Aktay, S. ^{[1
]}

机构：

[1] Anadolu Univ, Eskisehir, Turkey

来源：

MATHEMATICAL NOTES | 2018年 / 103卷 / 3-4期

关键词：

G(2)-structure; curvature; G(2)-STRUCTURES; DEFORMATIONS;

D O I：

10.1134/S0001434618030100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the curvature properties of a manifold with structure group G (2) whose fundamental 3-form is deformed by a Killing vector field of unit length. We obtain some results concerning conditions under which this manifold is flat, Einstein, or isometric to the unit sphere.

引用

页码：447 / 452

页数：6

共 8 条

[1] 3-Sasakian manifolds in dimension seven, their spinors and G2-structures [J].