问题

Questions in category: 流形基础 (Manifolds).

如果 $M,N$ 均为 $C^r$ 流形, 则 $M\times N$ 也是 $C^r$ 流形, 且 $\dim(M\times N)=\dim M+\dim N$.

Posted by haifeng on 2015-04-09 11:14:46 last update 2015-04-09 11:14:46 | Answers (1) | 收藏

如果 $M,N$ 均为 $C^r$ 流形, 则 $M\times N$ 也是 $C^r$ 流形, 且

\[
\dim(M\times N)=\dim M+\dim N.
\]