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On the Characterization of Conformally Flat Weakly Einstein Finsler Metrics

Gauree Shanker|Seema Jangir
경북대학교 자연과학대학 수학과|2023.12|Kyungpook Mathematical Journal|제63권 제4호|pp. 611-622|DOI https://doi.org/10.5666/KMJ.2023.63.4.611

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참고문헌

키워드

β)-metric(αKropina metricSlope metricConformal flatnessWeakly Einstein metric
주제분류수학

초록

In this paper, we prove that every weakly Einstein slope metric, which is con formally flat on a manifold M of dimension n ≥ 3, is either a locally Minkowski metric or a Riemannian metric. We also prove the same result for conformally flat weakly Einstein Kropina metrics.

Abstract

In this paper, we prove that every weakly Einstein slope metric, which is con formally flat on a manifold M of dimension n ≥ 3, is either a locally Minkowski metric or a Riemannian metric. We also prove the same result for conformally flat weakly Einstein Kropina metrics.

참고문헌 (20)

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