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ON SEMI-C-REDUCIBILITY OF (α, β)-METRICS

A. TAYEBI

Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran

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E. PEYGHAN

Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran

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, and

B. NAJAFI

Department of Mathematics, Faculty of Science, Shahed University, Tehran, Iran

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https://doi.org/10.1142/S0219887812500387Cited by:3 (Source: Crossref)

Abstract

Every non-Riemannian (α, β)-metric on a manifold with dimension n ≥ 3 is semi-C-reducible. Thus the study on semi-C-reducible metrics will enhance our understanding on the physical meaning of (α, β)-metrics. In this paper, we study weakly Landsberg semi-C-reducible metrics with some non-Riemannian curvature properties. Then we find some conditions on semi-C-reducible manifolds under which the notions of isotropic Landsberg curvature and of isotropic mean Landsberg curvature are equivalent.

Keywords:

AMSC: 53B40, 53C60

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