On 4-th root metrics of isotropic scalar curvature

Year, pages: 2020, 161 - 172

In this paper, we prove that every non-Riemannian 4-th root metric of isotropic scalar curvature has vanishing scalar curvature. Then, we show that every 4-th root metric of weakly isotropic flag curvature has vanishing scalar curvature. Finally, we find the necessary and sufficient condition under which the conformal change of a 4-th root metric is of isotropic scalar curvature.

Tayebi, A. 2020. On 4-th root metrics of isotropic scalar curvature. In Mathematica Slovaca, vol. 70, no.1, pp. 161-172. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0341

Tayebi, A. (2020). On 4-th root metrics of isotropic scalar curvature. Mathematica Slovaca, 70(1), 161-172. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0341

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava