PROJECTIVE CHANGE BETWEEN MATSUMOTO METRIC AND RANDERS METRIC
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In the present paper, we find the conditions to characterize projective change between two (a, β)-metrics, such as first approximate Matsumoto metric. L = α + β + β2/α and Randers metric L̄ = ᾱ + β̄ on a manifold with dim n ≥ 3, where α and ᾱ are two Riemannian metrics, β and β̄ are two non-zero 1-forms. Further, we study the special curvature properties of two classes of (α,β)-metrics.
Abstract
In the present paper, we find the conditions to characterize projective change between two (a, β)-metrics, such as first approximate Matsumoto metric. L = α + β + β2/α and Randers metric L̄ = ᾱ + β̄ on a manifold with dim n ≥ 3, where α and ᾱ are two Riemannian metrics, β and β̄ are two non-zero 1-forms. Further, we study the special curvature properties of two classes of (α,β)-metrics.
참고문헌 (12)
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