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On Minkowskian Product Einstein-Finsler spaces

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arxiv 2408.01930 v1 pith:2P4BEINN submitted 2024-08-04 math.DG

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keywords productminkowskianeinsteinfinslermanifoldmanifoldseinstein-finslereither
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In this paper we study the Minkowskian product Finsler manifolds. More precisely, we prove that if the Minkowskian product Finsler manifold is Einstein then either the product manifold is Ricci flat or both the quotient manifolds are Einstein with same scalar functions.

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Cited by 1 Pith paper

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  1. Bounds of Scalar curvature, S-curvature and distortion on $\infty$-Einstein Finsler manifolds

    math.DG 2024-12 reject novelty 6.0 of 10

    A Finsler-geometry paper proves growth estimates for S-curvature, distortion, and a new scalar curvature, but the main theorem relies on a stronger curvature bound than the one stated.

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