程新跃

个人简介

程新跃,1997年11月晋升为教授,重庆理工大学硕士生导师,上海大学博士生导师,西南大学兼职教授、博士生导师。匈牙利国立德布勒森大学(Universityof Debrecen)博士。重庆市学术技术带头人,重庆市数学会副理事长,重庆理工大学学科带头人。已在IsraelJournal of Mathematics、Journal of the London MathematicalSociety、Annalsof Global Analysis and Geometry、Journal of MathematicalAnalysis and Application等国内外重要学术刊物上发表论文70余篇,发表论文已被他人引用余次;由德国Springer出版社与科学出版社联合出版学术专著一部。作为项目负责人的研究成果获得2010年度重庆市自然科学奖二等奖一项。美国《MathematicalReviews(数学评论)》评论员,《InternationalJournal of Mathematics》、《Differential Geometry and ItsApplications》、《SCIENCE CHINA Mathematics》等著名学术刊物审稿人。

研究领域

整体微分几何,流形上的分析,信息几何学

承担的主要项目

已先后主持多项国家自然科学基金面上项目与国际合作项目。特别地,近五年来承担的主要科研项目包括:

[1]芬斯勒几何中的旗曲率与Ricci曲率,国家自然科学基金面上项目(批准号:10971239),2010.1.---2012.12.,26万,项目负责人。

[2]芬斯勒几何中的黎曼曲率及相关问题研究,国家自然科学基金面上项目(批准号:11371386),2014.1.---2017.12.,62万,项目负责人。

[3]Liegroups, differential equations and geometry,欧盟第七框架项目(项目协议号:PIRSES-GA-2012-317721),2013.1.---2016.6.,24.09万欧元(本人负责3.36万欧元),项目主研。

代表性成果

1. 代表性论文

[1] (with M. Yuan)On conformally flat (α,β)-metrics with special curvature properties, Acta Mathematica Sinica, EnglishSeries,31(5)(2015), 879–892.

[2]The (α, β)-metrics of scalar flag curvature, Differential Geometry andits Applications,35(2014), 361-369.

[3](withH. Li and Y. Zou) On conformally flat (α, β)-metrics with relatively isotropicmean Landsberg curvature, Publ. Math. Debrecen,85/1-2(2014), 131- 144.

[4] (with Chen Guangzu) On animportant non-Riemannian quantity in Finsler geometry, Results in Mathematics,65(2014),491-499.

[5](with M. Yuan) On Randers Metrics of Isotropic ScalarCurvature, Publ. Math. Debrecen,84/1-2(2014), 63-74.

[6](with Yangyang Zou) Thegeneralized unicorn problem on (α, β)-metrics, Journal of Mathematical Analysis and Applications,414(2014), 574-589.

[7](with G. Chen and M. Yuan)On a class of projectively flat Finsler metrics with weakly isotropic flagcurvature, Periodica Mathematica Hungarica,67(2)(2013), 155-166.

[8](with G. Chen) Animportant class of conformally flat weak Einstein Finsler metrics,International Journal ofMathematics,24(1) (2013), 1350003(15 pages).

[9] (withG. Chen and Y. Zou) Onconformal transformations between two (α, β)-metrics, Differ. Geometry and itsApplication,31(2013),300–307.

[10] (with Z. Shen and Y.Tian) A class of Einstein (α, β)-metrics,Israel Journal of Mathematics,192(2012), 221–249.

[11](withG. Chen) Aclass of Finsler metrics projectively related to a Randers metric, PublicationMath. Debrecen,81/3-4(2012), 351-363.

[12](with G. Yang) Conformalinvariances of two-dimensional Finsler spaces with isotropic main scalar,Publication Math. Debrecen,81/3-4(2012), 327-340.

[13] (with Y. Tian)Ricci-flat Douglas (α, β)-metrics, Differential Geometry and its Applications,30(2012),20-32.

[14] (with Y. Tian)Locally dually flatFinsler metrics with special curvature properties,DifferentialGeometry and its Applications,29(2011) , 98–106.

[15]On (α, β)-metrics ofscalar flag curvature with constant S-curvature, Acta Math. Sinica,26(9)(2010),1701-1708.

[16] (with Z. Shen and Y.Zhou) On locally dually flat Finsler metrics, International Journal ofMathematics,21(11)(2010), 1531-1543.

[17] (with Z. Shen)Randers metrics of scalar flag curvature,Journalof the Australian Mathematical Society,87(3)( 2009), 359-370.

[18] (with Z. Shen) Aclass of Finsler metrics with isotropic S-curvature, Israel Journal ofMathematics,169(1)(2009), 317-340.

[19] (with G. Yang) Ongeneralized Einstein metrics in Finsler geometry, Publication Math. Debrecen,74/1-2(2009),171-185.

[20] (with H. Wang and M.Wang) (α, β)-metrics with relatively isotropic mean Landsberg curvature,Publication Math. Debrecen ,72/3-4(2008), 475-485.

[21] (with T. Q.Binh) On a class of projectively flat (α, β)-Finsler metrics,Publication Math. Debrecen,73/3-4(2008), 391-400.

[22] (with S. Bacso)Finsler conformal transformations and the curvature invariances, PublicationMath. Debrecen ,70/1-2(2007),221-231.

[23] (with Ming Li) On aclass of projectively flat (α,β)-metrics, Publication Math. Debrecen ,71/1-2(2007), 195-205.

[24] (with S. Bacso and Z.Shen) Curvature properties of (α, β)-metrics,Advanced Studies in PureMathematics, Math. Soc. of Japan,48(2007),73-110.

[25] (with Z. Shen)Projectively flat Finsler metrics with almost isotropic S-curvature, ActaMathematica Scientia,26B(2)(2006), 307-313.

[26] (with Z. Shen) OnDouglas metrics, Publication Math. Debrecen,66(3-4) (2005), 503-512.

[27] (with Z. Shen)Finsler metrics with special curvature properties, Periodica MathematicaHungarica ,48(1-2)(2004), 33-47.

[28] (with Z. Shen) Acomparison theorem on the Ricci curvature in projective geometry, Annals ofGlobal Analysis and Geometry ,23(2)(2003), 141-156.

[29] (with Z. Shen)Randers metrics with special curvature properties, Osaka Journal ofMathematics,40(1)(2003), 87-101.

[30] (with X. Mo and Z.Shen) On the flag curvature of Finsler metrics of scalar curvature, Journal ofthe London Mathematical Society,68(2)(2003), 762-780.

[31] (with W. Yang) Thecharacteristics of hyperspheres in Minkowski spaces, Acta MathematicaScientia,23B(1)(2003), 139-144.

[32] (with W. Yang) On the Chern connection of Finsler submanifolds, ActaMathematica Scientia,20B(4)(2000), 551-557.

 

2.学术著作

[1](withZhongmin Shen) Finsler Geometry --- An Approach via Randers Spaces,SciencePress,Beijingand Springer, Heidelberg, 2012.

 

3.获奖

[1]程新跃,沈忠民。芬斯勒几何中的曲率性质,重庆市自然科学奖二等奖,2010年度。