Category

Smooth manifolds

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differentiable manifold

manifold upon which it is possible to perform calculus (any differentiablity class)

pseudo-Riemannian manifold

smooth manifold equipped with nowhere degenerate (but not necessarily positive-definite) metric tensor

symplectic manifold

in differential geometry, a smooth manifold equipped with a closed, nondegenerate differential 2-form

almost complex manifold

smooth manifold equipped with a smooth linear complex structure on each tangent space

Poisson manifold

Mathematical structure in differential geometry

tubular neighborhood

neighborhood of a submanifold homeomorphic to that submanifold’s normal bundle

Finsler manifold

smooth manifold equipped with a Minkowski functional at each tangent space