English Dictionary

tangent space

noun

(topology, differential topology) An n-dimensional vector space that represents the set of all vectors tangent to given n-dimensional differentiable manifold M at point x.

The tangent space is a fundamental concept in topology.

意味（1）

(topology, differential topology) An n-dimensional vector space that represents the set of all vectors tangent to given n-dimensional differentiable manifold M at point x.

This gives a degenerate norm on the tangent space of Hₙ at the origin, and one can use left translations to define similar norms at the tangent spaces of Hₙ at all other points.