Example image of eyePlorer eyePlorer map for 'Cotangent space': Differential geometry Dual space Manifold Tangent space Vector space Dimension (vector space) Cotangent bundle Isomorphism Natural transformation Riemannian manifold Symplectic vector space Linear functional Linear map Quotient space (linear algebra) Zariski tangent space Ringed space Smooth function Tangent vector Lie derivative Pullback (differential geometry) Pushforward (differential) Exterior algebra Differential form Multilinear map One-form Coordinate-induced basis Coadjoint representation Quadratic differential Microlocal analysis Tangent bundle Albanese variety Glossary of differential geometry and topology Classical treatment of tensors Tensor field Geodesics as Hamiltonian flows Edge-of-the-wedge theorem Mathematics of general relativity Hodge dual Covariant derivative Covariance and contravariance of vectors Hamiltonian mechanics Differentiable manifold Cartan connection