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Abstract Every Finsler metric induces a spray on a manifold. With a volume form on a manifold, every spray can be deformed to a projective spray. The Ricci curvature of… Click to show full abstract
Abstract Every Finsler metric induces a spray on a manifold. With a volume form on a manifold, every spray can be deformed to a projective spray. The Ricci curvature of a projective spray is called the projective Ricci curvature. The projective Ricci curvature is an important projective invariant in Finsler geometry. In this paper, we study and characterize projectively Ricci-flat square metrics. Moreover, we construct some nontrivial examples on such Finsler metrics.
Keywords:
finsler metrics;
ricci flat;
finsler;
ricci curvature;
geometry;
projectively ricci
Journal Title: Differential Geometry and Its Applications
Year Published: 2020
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Journal Title: Differential Geometry and Its Applications
Year Published: 2020
Link to full text (if available)
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recommendations!