Para-CR Structures of Codimension 2 on Tangent Bundles in Riemann–Finsler Geometry  

作　　者：Mircea CRASMAREANU Laurian-Ioan PISCORAN 

机构地区：[1]Faculty of Mathematics,University "Al.I.Cuza" of Iasi,700506,Romania [2]Department of Mathematics and Computer Science,North Univ.Center of Baia Mare,Technical Univ.of Cluj Napoca,430122,Romania

出　　处：《Acta Mathematica Sinica,English Series》2014年第11期1877-1884,共8页数学学报（英文版）

摘　　要：We determine a 2-codimensional para-CR structure on the slit tangent bundle T0 M of a Finsler manifold（M,F） by imposing a condition regarding the almost paracomplex structure P associated to F when restricted to the structural distribution of a framed para-f-structure.This condition is satisfied when（M,F） is of scalar flag curvature（particularly constant） or if the Riemannian manifold（M,g） is of constant curvature.We determine a 2-codimensional para-CR structure on the slit tangent bundle T0 M of a Finsler manifold（M,F） by imposing a condition regarding the almost paracomplex structure P associated to F when restricted to the structural distribution of a framed para-f-structure.This condition is satisfied when（M,F） is of scalar flag curvature（particularly constant） or if the Riemannian manifold（M,g） is of constant curvature.

关 键 词：Para-CR structure metric framed para-f-structure Finsler geometry scalar flag curvature space form 

分 类 号：O186.12[理学—数学]