A family of Einstein Randers metrics

B. Najafi; A. Tayebi

doi:10.1142/S021988781100552X

A family of Einstein Randers metrics

Differential Geometry 2011-10-10 v1

Authors: B. Najafi , A. Tayebi

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Abstract

Using Hawking Taub-NUT metric $g_a$ on $\mathbf{R}^4$ , where $a$ is a positive real number and finding a 4-parameter family of Killing vector fields of $(\mathbf{R}^4,g_a)$ , we construct a 5-parameter family of Einstein Randers metrics with non-constant flag curvature.

Keywords

Einstein metrics Randers metrics Hawking Taub-NUT metric Killing vector fields flag curvature

Cite

@article{arxiv.0911.1518,
  title  = {A family of Einstein Randers metrics},
  author = {B. Najafi and A. Tayebi},
  journal= {arXiv preprint arXiv:0911.1518},
  year   = {2011}
}

Comments

7 pages

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