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Differential structure

💡 Words with a Similar Meaning to "Differential structure"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
differential topologynoun(mathematics) Field dealing with differentiable functions on differentiable manifolds.
differentiable manifoldnoun(differential geometry) A manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus;
differentialnounA qualitative or quantitative difference between similar or comparable things.
lie groupnoun(topology) Any group that is a smooth manifold and whose group operations are differentiable.
differential geometrynoun(geometry, mathematical analysis) The study of geometry, especially geometric structures on differentiable manifolds, using techniques from calculus, linear algebra and multilinear algebra.
diffeologynoun(differential geometry) The set of smooth parametrizations of a given set X; the set of smooth maps S→X, where S is any open set ⊆ℝⁿ; the theory of such constructs.
kähler manifoldnoun(differential geometry) A manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure.
differential operatornoun(mathematics, mathematical analysis) An operator defined as a function of the differentiation operator (the operator which maps functions to their derivatives).
distributionnounAn act of distributing or state of being distributed.
diffeomorphismnoun(mathematics) A differentiable homeomorphism (with differentiable inverse) between differentiable manifolds.
foliationnoun(publishing) The process of forming into pages; pagination.
codifferentialnoun(differential geometry) the formal adjoint of the exterior derivative; a differential-geometric version of the divergence operator; the exterior derivative sandwiched between two Hodge star operators with some additional factor(s) that take(s) care of the sign; the Hermitian conjugate of the exterior derivative under the inner product for k-form fields over some manifold M: (α,β)=∫_Mα∧⋆β, so that (α,dβ)=(δα,β).
ditopologynoun(topology) A dichotomous topology; A topology that includes two structures: one describing the properties related to openness of sets, the other describing the properties related to closedness of sets.
discrete topologynoun(topology) A topology on a set consisting of all subsets of that set.
smooth manifoldnounA manifold which is infinitely differentiable (C ᪲).
differential formnoun(differential geometry, tensor calculus, sometimes as "differential p-form") A completely antisymmetric tensor (of order p) that is defined on a Riemannian manifold; an expression, derived by applying a formalism to said tensor, that represents an integrand over the manifold.
contact geometrynoun(differential geometry, countable) Given a smooth manifold of odd dimensionality, a distribution (subset) of the tangent bundle that satisfies the condition of complete nonintegrability, or equivalently may be locally defined as the kernel of a maximally nondegenerate differential 1-form;
submanifoldnoun(topology) A manifold which is a subset of another, so that the inclusion function is an embedding or, sometimes, an immersion.
pseudo-riemannian manifoldnoun(differential geometry) A generalization of a Riemannian manifold
distance functionnoun(mathematics) a function used to calculate the distance between two points.

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