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On the second approximate Matsumoto metric

Akbar Tayebi|Tayebeh Tabatabaeifar|Esmaeil Peyghan
대한수학회 (The Korean Mathematical Society)|2014.01|대한수학회보 (Bulletin of the KMS)|제51권 제1호|pp. 115-128

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참고문헌

키워드

isotropic Berwald curvatureS-curvaturealmost isotropic flag curvature
주제분류수학

초록

In this paper, we study the second approximate Matsumoto metric F = α+β+β2/α+β3/α2 on a manifold M. We prove that F is of scalar flag curvature and isotropic S-curvature if and only if it is isotropic Berwald metric with almost isotropic flag curvature.

Abstract

In this paper, we study the second approximate Matsumoto metric F = α+β+β2/α+β3/α2 on a manifold M. We prove that F is of scalar flag curvature and isotropic S-curvature if and only if it is isotropic Berwald metric with almost isotropic flag curvature.

참고문헌 (20)

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