1.Previous
3.Next

and scalar multiplication defined by and , respectively. Moreover, if is the standard basis for , then is the analogous standard basis for . In other words, each tangent space can simply be regarded as a copy of (a set of tangent vectors) based at the point . The collection (disjoint union) of tangent spaces of at all is known as the tangent bundle of and is usually denoted . While the definition given here provides a simple description of the tangent space of , there are other,

1.Previous
3.Next