tangent bundle

can itself be given the structure of a manifold. TM is known as the tangent bundle and has twice the dimension of M. There is a natural (first coordinate) projection π:TM → M and TP(M) = π–1(P ) is called the fibre over P.

Tangent bundles are examples of vector bundles which more generally are manifolds comprising vector spaces (the fibres) associated with points of the base manifold M. The topology of a manifold can be investigated by the use of vector bundles and other spaces naturally associated with the manifold.

• circular motion
• circulation
• circumcentre
• circumference
• circumscribe
• cis
• class
• class boundaries
• class equation
• classical mechanics
• Classification Theorem for Surfaces
• class interval
• class mark
• cleartext
• clock arithmetic
• clockwise
• clopen set
• closed
• closed
• closed disc
• closed-form
• closed interval
• closed set
• closed surface
• closure