On strongly Ricci-Quadratic Finsler Metrics

Esra Sengelen Sevim,Zhongmin Shen,Semail Ülgen

JOURNAL OF GEOMETRIC ANALYSIS（2023）

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摘要

Finsler metrics being Ricci-quadratic is a non-Riemannian condition since the Ricci curvature (tensor) is always Ricci-quadratic for Riemannian metrics. In this paper, we introduce the notion of strongly Ricci-quadratic Finsler metrics. We classify strongly Ricci-quadratic Randers metrics expressed in a navigation form.

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关键词

Sprays,Finsler metric,Ricci curvature tensor,Ricci-quadratic,Randers metric

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