关于球对称Landsberg度量

B. Tiwari, Ranadip Gangopadhyay, G. K. Prajapati, Manoj Kumar
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引用次数: 1

摘要

摘要本文研究了具有各向同性E曲率和各向同性S曲率的球对称Landsberg度量。在第一种情况下,我们已经证明了度量减少到Berwald度量,因此,它具有消失的E曲率。在第二种情况下,我们完全分类了具有各向同性S曲率的球对称Landsberg度量。
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On Spherically Symmetric Landsberg Metrics
ABSTRACT In this paper, we have studied spherically symmetric Landsberg metrics with isotropic E-curvature and isotropic S-curvature. In the first case we have shown that the metric reduces to a Berwald metric and therefore, it is of vanishing E-curvature. In the second case we have completely classified the spherically symmetric Landsberg metric with isotropic S-curvature.
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