In this article, we study Einstein Kropina metrics on Lie groups and homogeneous spaces. We give a method to construct Einstein Kropina metrics on Lie groups. As an example of this method, a family of non-Riemannian Einstein Kropina metrics on the special orthogonal group is given. Then, we classify all left in…
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4 results for “Einstein-Kropina”
Einstein-Kropina metrics extend Einstein condition to all signatures and classify Finsler gravity solutions.
problem Einstein-Kropina metrics in Finsler gravity
method Generalize Einstein condition and classify solutions
result All Einstein-Kropina solutions to the -vacuum equation are Berwald and Ricci-flat, with vanishing cosmological constant.
On Einstein Kropina metricsmath.DG
In this paper, a characteristic condition of Einstein Kropina metrics is given. By the characteristic condition, we prove that a non-Riemannian Kropina metric with constant Killing form on an n-dimensional manifold , , is an Einstein metric if and only if is also an Einstein metric. …
Study weakly weighted Einstein-Finsler metrics, showing specific curvature properties and characterizing them.
problem Characterizing weakly weighted Einstein-Finsler metrics.
method Showed isotropic S-curvature under certain conditions. Characterized via navigation expressions and and .
result Weakly weighted Einstein-Kropina metrics have isotropic S-curvature and can be completely characterized.