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 .
See alsoChart Tangent Space,
Submanifold Tangent Space,
Tangent,
Tangent Bundle,
Tangent Plane,
Tangent Vector Explore this topic in the MathWorld classroom Explore with Wolfram|AlphaMore things to try:
Cite this as:Weisstein, Eric W. "Tangent Space." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TangentSpace.html
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