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Finslerian Ricci Deformation and Conformal Metrics

Finslerian Ricci Deformation and Conformal Metrics
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摘要 In this paper, a new Ricci flow is canonically introduced in Finsler Geometry and, under the variance of Finsler-Ehresmann form, conformal changes of Finsler metrics are studied. Some existence conditions of this Finslerian Ricci flow on a compact manifold which preserves the conformal class of the initial metric are obtained as an application. In this paper, a new Ricci flow is canonically introduced in Finsler Geometry and, under the variance of Finsler-Ehresmann form, conformal changes of Finsler metrics are studied. Some existence conditions of this Finslerian Ricci flow on a compact manifold which preserves the conformal class of the initial metric are obtained as an application.
出处 《Journal of Applied Mathematics and Physics》 2018年第7期1522-1536,共15页 应用数学与应用物理(英文)
关键词 Ehresmann CONNECTION RICCI Flow Trace-Free RICCI TENSOR CONFORMAL Change of Finsler-Ehresmann Form Ehresmann Connection Ricci Flow Trace-Free Ricci Tensor Conformal Change of Finsler-Ehresmann Form
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