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个人简介
My primary research interests are in Riemannian Geometry and Finsler Geometry. Roughly speaking, Riemannian metrics are quadratic metrics while Finsler metrics can be non-quadratic. In Finsler Geometry, there are several geometric quantities. The Riemann curvature and its mean (the Ricci curvature) are the natural extensions of the Riemann curvature and the Ricci curvature in Riemannian geometry. There are several other non-Riemannian quantities such as Cartan torsion, S-curvature and Landsberg curvature, etc. They all vanish when the metric is Riemannian. These non-Riemannian quantities interact with the Riemann/Ricci curvature. I investigate Finsler metrics of constant/scalar flag curvature and of isotropic Ricci curvature (Einstein metrics). Recently, I pay more attention to Ricci-flat metrics which have applications to Finslerian extension of general relativity.
研究兴趣
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MEDITERRANEAN JOURNAL OF MATHEMATICSno. 4 (2023): 1-11
TOHOKU MATHEMATICAL JOURNALno. 2 (2023): 283-298
arxiv(2023)
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CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES (2023)
PERIODICA MATHEMATICA HUNGARICAno. 2 (2023): 514-529
JOURNAL OF GEOMETRIC ANALYSISno. 10 (2023): 1-11
Period. Math. Hung.no. 2 (2022): 514-529
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