@Article{CMR-36-3,
author = {Yun, Miao and Qi, Liqun and Yimin, Wei},
title = {M-Eigenvalues of the Riemann Curvature Tensor of Conformally Flat Manifolds},
journal = {Communications in Mathematical Research },
year = {2020},
volume = {36},
number = {3},
pages = {336--353},
abstract = {<p style="text-align: justify;">We investigate the M-eigenvalues of the Riemann curvature tensor
in the higher dimensional conformally flat manifold. The expressions of M-eigenvalues and M-eigenvectors are presented in this paper. As a special case,
M-eigenvalues of conformal flat Einstein manifold have also been discussed,
and the conformal the invariance of M-eigentriple has been found. We also
reveal the relationship between M-eigenvalue and sectional curvature of a Riemannian manifold. We prove that the M-eigenvalue can determine the Riemann curvature tensor uniquely. We also give an example to compute the M-eigentriple of de Sitter spacetime which is well-known in general relativity.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2020-0052},
url = {https://global-sci.com/article/81536/m-eigenvalues-of-the-riemann-curvature-tensor-of-conformally-flat-manifolds}
}