Invariant Einstein metrics on Ledger-Obata spaces

Zhiqi Chen; Yuriĭ Nikonorov; Yulia Nikonorova

doi:10.1016/j.difgeo.2016.10.007

Invariant Einstein metrics on Ledger-Obata spaces

Differential Geometry 2017-02-22 v1

Authors: Zhiqi Chen , Yuriĭ Nikonorov , Yulia Nikonorova

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Abstract

In this paper, we study invariant Einstein metrics on Ledger-Obata spaces $F^m/\operatorname{diag}(F)$ . In particular, we classify invariant Einstein metrics on $F^4/\operatorname{diag}(F)$ and estimate the number of invariant Einstein metrics on general Ledger-Obata spaces $F^{m}/\operatorname{diag}(F)$ .

Cite

@article{arxiv.1605.04747,
  title  = {Invariant Einstein metrics on Ledger-Obata spaces},
  author = {Zhiqi Chen and Yuriĭ Nikonorov and Yulia Nikonorova},
  journal= {arXiv preprint arXiv:1605.04747},
  year   = {2017}
}

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