摘要
本文讨论了流形M上(r.s)型张量场T沿向量场X的协变微商▽_X^T与张量场T的绝对微分DT的内在联系。由▽_X^T确定DT,反之亦然。
Let C~∞(M, T_■~■(M)) be the set of all smooth tensor fields of order (r,s) on a manifold M~■. Let T belong to C∞(M, T_■~■(M)) and X belong to C~∞(M,T_0~1(M))=C~∞(M,T(M)).In this paper, we study inner relationships between obsolute differential DT of T and covariant derivative ▽_X^T of T along direction X. ▽_X^T determine DT and DT determine ▽_X^T.
出处
《宁夏大学学报（自然科学版）》
CAS
1992年第1期29-35,共7页
Journal of Ningxia University(Natural Science Edition)
关键词
张量场
协变微商
绝对微分
联络
微分流形
tensor field
covariant derivative
obsolute differential
smooth vector field
connection
