Tangent bundle of vector space

1. Nov 3, 2010

math6

if we have a vector space V,can we define the tangent bundle of V rated TV?

2. Nov 3, 2010

Fredrik

Staff Emeritus
A tangent bundle is defined over a manifold, not over a vector space. However, if the vector space is finite-dimensional, we can easily define a manifold structure on it, and define the tangent bundle the usual way.

3. Nov 3, 2010

math6

thnx this is what i need :)