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Vector space sructure ofstructure on velocity space of manifold
Let $M$ be $C^{\infty}$-manifold and $x\in M$. We define $(k,r)$-velocity space at x byas $(T_k^rM)_x:=J_0^{r}(\mathbb{R}^k,M)_x$.Can we define vector space structure on $(T_k^rM)_x$?
Vector space sructure of velocity space of manifold
Let $M$ be $C^{\infty}$-manifold and $x\in M$. We define $(k,r)$-velocity space at x by$(T_k^rM)_x:=J_0^{r}(\mathbb{R}^k,M)_x$.Can we define vector space structure on $(T_k^rM)_x$?
Vector space structure on velocity space of manifold
Let $M$ be $C^{\infty}$-manifold and $x\in M$. We define $(k,r)$-velocity space at x as $(T_k^rM)_x:=J_0^{r}(\mathbb{R}^k,M)_x$.Can we define vector space structure on $(T_k^rM)_x$?
