摘要
对于2维非双曲微分同胚,在幂一情形下运用经典理论可以得到其最简的正规形,而在3维空间中非双曲微分同胚的正规形还不足够简化.为此,在幂一情形下运用线性算子的核空间与补空间等理论,推出3维非双曲微分同胚的更简正规形.
For a 2-dimensional non-hyperbolic diffeomorphism,classical theory can be used in the uni-potent case to obtain the simplest normal form.However,the normal form of a 3-dimensional non-hyperbolic diffeomorphism is not simple enough.For this reason,in the uni-potent case theories of the kernel space and complementary space of linear operators are used to derive the simpler normal form of a 3-dimensional non-hyperbolic diffeomorphism.
作者
何兰
HE Lan(School of Mathematical Sciences,Chongqing Normal University,Shapingba,Chongqing 401331,China)
出处
《内江师范学院学报》
2018年第12期55-59,共5页
Journal of Neijiang Normal University
基金
国家自然科学基金项目(11671061)
重庆市自然科学基金(cstc2018jcyjAX0418)
关键词
非双曲微分同胚
正规形
内积
正交补空间
伴随算子
non-hyperbolic diffeomorphism
normal form
inner product
orthogonal complementary space
adjoint operator
