衡水学院学报
衡水學院學報
형수학원학보
Journal of Hengshui University
2012年
1期
20~21
,共null页
Bianchi恒等式 仿射联络 协变微分 曲率张量
Bianchi恆等式 倣射聯絡 協變微分 麯率張量
Bianchi항등식 방사련락 협변미분 곡솔장량
Bianchi identities; affine connection; covariant differentiation; curvature tensor
利用协变微分及反对称性证明了Bianchi恒等式,并加以应用.改进了部分学者的证明方法,为初学者提供了通俗易懂的证明思路与应用技巧.
利用協變微分及反對稱性證明瞭Bianchi恆等式,併加以應用.改進瞭部分學者的證明方法,為初學者提供瞭通俗易懂的證明思路與應用技巧.
이용협변미분급반대칭성증명료Bianchi항등식,병가이응용.개진료부분학자적증명방법,위초학자제공료통속역동적증명사로여응용기교.
This paper,by using covariant differentiation and anti-symmetry,proves Bianchi identities and puts them to application to improve the proof methods of some scholars,which provides beginners with easily understood proof train of thought and application techniques.