Let be a point in an -dimensional compact manifold , and attach at a copy of tangential to . The resulting structure is called the tangent space of at and is denoted . If is a smooth curve passing through , then the derivative of at is a vector in .
Tangent Space
See also
Chart Tangent Space, Submanifold Tangent Space, Tangent, Tangent Bundle, Tangent Plane, Tangent Vector Explore this topic in the MathWorld classroomExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Tangent Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TangentSpace.html