已在国内外重要学术期刊发表论文90余篇,由德国Springer出版社与科学出版社联合出版学术专著一部,由科学出版社出版研究生教材一部。主要代表性成果包括: 著作 1. Xinyue Cheng, Zhongmin Shen, Finsler Geometry --- An Approach via Randers Spaces,Springer & Science Press,Heidelberg & Beijing, 2012. 1. 2. 程新跃,李体耀,现代几何基础,科学出版社,北京,2020.10. 论文 1.(with Q. Qu and S. Xu) The navigation problems on a class of conic Finsler manifolds,Differential Geometry and its Applications,74 (2021), Article No.101709, 13 pages 2.(with L. Yin and T. Li) A class of Randers metrics of scalar flag curvature, International Journal of Mathematics, 31(13)(2020), Article No. 2050114, 16 pages. 3.(with G. Chen) Projectively flat singular square metrics with constant flag curvature, Acta Mathematica Sinica,36(6)(2020), 638-650. 4.(with T. Li and L. Yin) The conformal vector fields on conic Kropina manifolds via navigation data, Journal of Geometry and Physics, 131(2018), 138-146. 5.(with Z. Shen and G. Yang) On a class of two-dimensional Finsler manifolds of isotropic S-curvature, SCIENCE CHINA Mathematics,61(1)(2018), 57-72. 6.(with Y. Shen and X. Ma) On a class of projective Ricci flat Finsler metrics, Publications Mathematicae Debrecen, 90/1-2(2017), 169-180. 7.(with Z. Shen) Einstein Finsler metrics and Killing vector fields on Riemannian manifolds, SCIENCE CHINA Mathematics, 60(1)(2017), 83-98. 8.(with G. Chen) On an important non-Riemannian quantity in Finsler geometry, Results in Mathematics, 65(2014), 491-499. 9.(with Y. Zou) The generalized unicorn problem on (α, β)-metrics, Journal of Mathematical Analysis and Applications, 414(2014), 574-589. 10.(with G. Chen) An important class of conformally flat weak Einstein Finsler metrics, International Journal of Mathematics, 24(1) (2013), 1350003(15 pages). 11.(with Z. Shen and Y. Tian) A class of Einstein (α, β)-metrics, Israel Journal of Mathematics,192 (2012), 221–249. 12.(with Z. Shen and Y. Zhou) On locally dually flat Finsler metrics, International Journal of Mathematics, 21(11)(2010), 1531-1543. 13.(with Z. Shen) Randers metrics of scalar flag curvature, Journal of the Australian Mathematical Society, 87(3)( 2009), 359-370. 14.(with Z. Shen) A class of Finsler metrics with isotropic S-curvature, Israel Journal of Mathematics,169(1)(2009), 317-340. 15.(with H. Wang and M. Wang) (α, β)-metrics with relatively isotropic mean Landsberg curvature, Publications Mathematicae Debrecen, 72/3-4(2008), 475-485. 16.(with S. Bacso) Finsler conformal transformations and the curvature invariances, Publication Mathematicae Debrecen , 70/1-2(2007), 221-231. 17.(with S. Bacso and Z. Shen) Curvature properties of (α, β)-metrics, Advanced Studies in Pure Mathematics, Math. Soc. of Japan,48(2007), 73-110. 18.(with Z. Shen) A comparison theorem on the Ricci curvature in projective geometry, Annals of Global Analysis and Geometry , 23(2)(2003), 141-156. 19.(with Z. Shen) Randers metrics with special curvature properties, Osaka Journal of Mathematics, 40(1)(2003), 87-101. 20.(with X. Mo and Z. Shen) On the flag curvature of Finsler metrics of scalar curvature, Journal of the London Mathematical Society, 68(2)(2003), 762-780. |