💡 Words with a Similar Meaning to "Affine connection"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| metric tensornoun | (differential geometry) a symmetric bilinear form which is non-degenerate (i.e., having all non-zero eigenvalues); a differential of distance on a manifold |
| symplectic manifold | In differential geometry, a subject of mathematics, a symplectic manifold is a smooth manifold, , equipped with a closed nondegenerate differential 2-form , called the symplectic form. |
| differentiable manifoldnoun | (differential geometry) A manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus; |
| normal coordinates | In differential geometry, normal coordinates at a point p in a differentiable manifold equipped with a symmetric affine connection are a local coordinate system in a neighborhood of p obtained by applying the exponential map to the tangent space at p. |
| distributionnoun | An act of distributing or state of being distributed. |
| exterior covariant derivative | In the mathematical field of differential geometry, the exterior covariant derivative is an extension of the notion of exterior derivative to the setting of a differentiable principal bundle or vector bundle with a connection. |
| cartan connection | In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. |
| local diffeomorphism | In mathematics, more specifically differential topology, a local diffeomorphism is intuitively a map between smooth manifolds that preserves the local differentiable structure. |
| cotangent bundle | In mathematics, especially differential geometry, the cotangent bundle of a smooth manifold is the vector bundle of all the cotangent spaces at every point in the manifold. |
| tangent spacenoun | (topology, differential topology) An n-dimensional vector space that represents the set of all vectors tangent to given n-dimensional differentiable manifold M at point x. |
| riemannian geometrynoun | (mathematics, geometry) The branch of differential geometry that concerns Riemannian manifolds; an example of a geometry that involves Riemannian manifolds. |
| riemannian manifoldnoun | (differential geometry, Riemannian geometry) A real, smooth differentiable manifold whose each point has a tangent space equipped with a positive-definite inner product; |
| affine transformationnoun | (geometry, linear algebra) A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments. |
| transversalitynoun | The quality of connecting or representing a range of heterogeneous elements (fields, kinds of people, etc). |
| connectornoun | (chiefly electrical engineering) A device (or, more precisely, a mating pair of devices, often a plug and a socket) for connecting together two wires, cables, or hoses, allowing electricity or fluid to flow but also allowing easy disconnection and reconnection when necessary. |
| affine spacenoun | (mathematics) a vector space having no origin |
| differential structurenoun | (topology) A structure defined for a (topological) manifold so that it supports differentiation of functions defined on it. |
| tangent bundlenoun | (topology) A fiber bundle for which the base space is a differentiable manifold and each fiber over a point of that manifold is the tangent space of that point. |
| connectionnoun | A feeling of understanding and ease of communication between two or more people. |
| symplectic geometry | a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form. |
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