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Glossary of differential geometry and topology - C | A Wisdom Archive on Glossary of differential geometry and topology - C | | Glossary of differential geometry and topology - C A selection of articles related to Glossary of differential geometry and topology - C | |
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Glossary of differential geometry and topology, Glossary of differential geometry and topology - A, Glossary of differential geometry and topology - B, Glossary of differential geometry and topology - C, Glossary of differential geometry and topology - D, Glossary of differential geometry and topology - E, Glossary of differential geometry and topology - F, Glossary of differential geometry and topology - G, Glossary of differential geometry and topology - H, Glossary of differential geometry and topology - I, Glossary of differential geometry and topology - L, Glossary of differential geometry and topology - M, Glossary of differential geometry and topology - P, Glossary of differential geometry and topology - S, Glossary of differential geometry and topology - T, Glossary of differential geometry and topology - V, Glossary of differential geometry and topology - W
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ARTICLES RELATED TO Glossary of differential geometry and topology - C | | | |  Glossary of differential geometry and topology - C: Encyclopedia II - Glossary of differential geometry and topology - CChart
Cobordism
Codimension. The codimension of a submanifold is the dimension of the ambient space minus the dimension of the submanifold.
Connected sum
Connection
Cotangent bundle, the vector bundle of cotangent spaces on a manifold.
Cotangent space
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See also:Glossary of differential geometry and topology, Glossary of differential geometry and topology - A, Glossary of differential geometry and topology - B, Glossary of differential geometry and topology - C, Glossary of differential geometry and topology - D, Glossary of differential geometry and topology - E, Glossary of differential geometry and topology - F, Glossary of differential geometry and topology - G, Glossary of differential geometry and topology - H, Glossary of differential geometry and topology - I, Glossary of differential geometry and topology - L, Glossary of differential geometry and topology - M, Glossary of differential geometry and topology - P, Glossary of differential geometry and topology - S, Glossary of differential geometry and topology - T, Glossary of differential geometry and topology - V, Glossary of differential geometry and topology - W Read more here: » Glossary of differential geometry and topology: Encyclopedia II - Glossary of differential geometry and topology - C |
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| | | | Glossary of differential geometry and topology - C: Encyclopedia II - Glossary of differential geometry and topology - T Tangent bundle, the vector bundle of tangent spaces on a differentiable manifold.
Tangent field, a section of the tangent bundle. Also called a vector field.
Tangent space
Torus
Transversality. Two submanifolds M and N intersect transversally if at each point of intersection p their tangent spaces Tp(M) and Tp(N) generate the whole tangent s ...
See also:Glossary of differential geometry and topology, Glossary of differential geometry and topology - A, Glossary of differential geometry and topology - B, Glossary of differential geometry and topology - C, Glossary of differential geometry and topology - D, Glossary of differential geometry and topology - E, Glossary of differential geometry and topology - F, Glossary of differential geometry and topology - G, Glossary of differential geometry and topology - H, Glossary of differential geometry and topology - I, Glossary of differential geometry and topology - L, Glossary of differential geometry and topology - M, Glossary of differential geometry and topology - P, Glossary of differential geometry and topology - S, Glossary of differential geometry and topology - T, Glossary of differential geometry and topology - V, Glossary of differential geometry and topology - W Read more here: » Glossary of differential geometry and topology: Encyclopedia II - Glossary of differential geometry and topology - T |
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| | | | Glossary of differential geometry and topology - C: Encyclopedia II - Glossary of differential geometry and topology - V Vector bundle, a fiber bundle whose fibers are vector spaces and whose transition functions are linear maps.
Vector field, a section of a vector bundle. More specifically, a vector field can mean a section of the tangent bundle.
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See also:Glossary of differential geometry and topology, Glossary of differential geometry and topology - A, Glossary of differential geometry and topology - B, Glossary of differential geometry and topology - C, Glossary of differential geometry and topology - D, Glossary of differential geometry and topology - E, Glossary of differential geometry and topology - F, Glossary of differential geometry and topology - G, Glossary of differential geometry and topology - H, Glossary of differential geometry and topology - I, Glossary of differential geometry and topology - L, Glossary of differential geometry and topology - M, Glossary of differential geometry and topology - P, Glossary of differential geometry and topology - S, Glossary of differential geometry and topology - T, Glossary of differential geometry and topology - V, Glossary of differential geometry and topology - W Read more here: » Glossary of differential geometry and topology: Encyclopedia II - Glossary of differential geometry and topology - V |
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| | | | Glossary of differential geometry and topology - C: Encyclopedia II - Glossary of differential geometry and topology - S Section
Submanifold. A submanifold is the image of a smooth embedding of a manifold.
Submersion
Surface, a two-dimensional manifold or submanifold.
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See also:Glossary of differential geometry and topology, Glossary of differential geometry and topology - A, Glossary of differential geometry and topology - B, Glossary of differential geometry and topology - C, Glossary of differential geometry and topology - D, Glossary of differential geometry and topology - E, Glossary of differential geometry and topology - F, Glossary of differential geometry and topology - G, Glossary of differential geometry and topology - H, Glossary of differential geometry and topology - I, Glossary of differential geometry and topology - L, Glossary of differential geometry and topology - M, Glossary of differential geometry and topology - P, Glossary of differential geometry and topology - S, Glossary of differential geometry and topology - T, Glossary of differential geometry and topology - V, Glossary of differential geometry and topology - W Read more here: » Glossary of differential geometry and topology: Encyclopedia II - Glossary of differential geometry and topology - S |
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| | | | Glossary of differential geometry and topology - C: Encyclopedia II - Glossary of differential geometry and topology - P Parallelizable. A smooth manifold is parallelizable if it admits a smooth global frame. This is equivalent to the tangent bundle being trivial.
Principal bundle. A principal bundle is a fiber bundle P → B together with right action on P by a Lie group G that preserves the fibers of P and acts simply transitively on those fibers.
Pullback
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See also:Glossary of differential geometry and topology, Glossary of differential geometry and topology - A, Glossary of differential geometry and topology - B, Glossary of differential geometry and topology - C, Glossary of differential geometry and topology - D, Glossary of differential geometry and topology - E, Glossary of differential geometry and topology - F, Glossary of differential geometry and topology - G, Glossary of differential geometry and topology - H, Glossary of differential geometry and topology - I, Glossary of differential geometry and topology - L, Glossary of differential geometry and topology - M, Glossary of differential geometry and topology - P, Glossary of differential geometry and topology - S, Glossary of differential geometry and topology - T, Glossary of differential geometry and topology - V, Glossary of differential geometry and topology - W Read more here: » Glossary of differential geometry and topology: Encyclopedia II - Glossary of differential geometry and topology - P |
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| | | | Glossary of differential geometry and topology - C: Encyclopedia II - Glossary of differential geometry and topology - D Diffeomorphism. Given two differentiable manifolds M and N, a bijective map f from M to N is called a diffeomorphism if both and its inverse are smooth functions.
Doubling, given a manifold M with boundary, doubling is taking two copies of M and identifying their boundaries. As the result we get a manifold without boundary.
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See also:Glossary of differential geometry and topology, Glossary of differential geometry and topology - A, Glossary of differential geometry and topology - B, Glossary of differential geometry and topology - C, Glossary of differential geometry and topology - D, Glossary of differential geometry and topology - E, Glossary of differential geometry and topology - F, Glossary of differential geometry and topology - G, Glossary of differential geometry and topology - H, Glossary of differential geometry and topology - I, Glossary of differential geometry and topology - L, Glossary of differential geometry and topology - M, Glossary of differential geometry and topology - P, Glossary of differential geometry and topology - S, Glossary of differential geometry and topology - T, Glossary of differential geometry and topology - V, Glossary of differential geometry and topology - W Read more here: » Glossary of differential geometry and topology: Encyclopedia II - Glossary of differential geometry and topology - D |
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| | | | Glossary of differential geometry and topology - C: Encyclopedia II - Glossary of differential geometry and topology - F Fiber. In a fiber bundle, π: E → B the preimage π−1(x) of a point x in the base B is called the fiber over x, often denoted Ex.
Fiber bundle
Frame
Frame bundle, the principal bundle of frames on a smooth manifold.
Flow
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See also:Glossary of differential geometry and topology, Glossary of differential geometry and topology - A, Glossary of differential geometry and topology - B, Glossary of differential geometry and topology - C, Glossary of differential geometry and topology - D, Glossary of differential geometry and topology - E, Glossary of differential geometry and topology - F, Glossary of differential geometry and topology - G, Glossary of differential geometry and topology - H, Glossary of differential geometry and topology - I, Glossary of differential geometry and topology - L, Glossary of differential geometry and topology - M, Glossary of differential geometry and topology - P, Glossary of differential geometry and topology - S, Glossary of differential geometry and topology - T, Glossary of differential geometry and topology - V, Glossary of differential geometry and topology - W Read more here: » Glossary of differential geometry and topology: Encyclopedia II - Glossary of differential geometry and topology - F |
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