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2 results for M-eigenvalues

Researchers found M-eigenvalues for higher dimensional conformal flat manifolds.

problem Finding M-eigenvalues for Riemann curvature tensor in higher dimensions.
method Generalized Xiang, Qi and Wei's results to higher dimensions and provided expressions for M-eigenvalues and eigenvectors.
result M-eigenvalues uniquely determine the Riemann curvature tensor and can be complex.

Researchers extend M-eigenvalues to Riemann curvature tensor, finding real values and invariants.

problem Extending M-eigenvalues to Riemann curvature tensor in general relativity.
method Introduced M-eigenproblem definition from minimization of associated function, proved existence and real values of M-eigenvalues.
result M-eigenvalues of Riemann curvature tensor are real and invariants, related to curvature invariants.