Faster access than browser!Similarities between De Rham cohomology and Differential form
De Rham cohomology and Differential form have 21 things in common (in Unionpedia): Abelian group, Chain (algebraic topology), Chain complex, Closed and exact differential forms, Cohomology, Differentiable manifold, Differential operator, Duality (mathematics), Exact sequence, Exterior algebra, Exterior derivative, Fundamental theorem of calculus, Hodge star operator, Homology (mathematics), Homotopy, Mathematics, Orientability, Riemannian manifold, Smoothness, Stokes' theorem, Topology.
Abelian group
In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
Abelian group and De Rham cohomology · Abelian group and Differential form ·
Chain (algebraic topology)
In algebraic topology, a -chain is a formal linear combination of the -cells in a cell complex.
Chain (algebraic topology) and De Rham cohomology · Chain (algebraic topology) and Differential form ·
Chain complex
In mathematics, a chain complex is an algebraic structure that consists of a sequence of abelian groups (or modules) and a sequence of homomorphisms between consecutive groups such that the image of each homomorphism is included in the kernel of the next.
Chain complex and De Rham cohomology · Chain complex and Differential form ·
Closed and exact differential forms
In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα.
Closed and exact differential forms and De Rham cohomology · Closed and exact differential forms and Differential form ·
Cohomology
In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups associated to a topological space, often defined from a cochain complex.
Cohomology and De Rham cohomology · Cohomology and Differential form ·
Differentiable manifold
In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.
De Rham cohomology and Differentiable manifold · Differentiable manifold and Differential form ·
Differential operator
In mathematics, a differential operator is an operator defined as a function of the differentiation operator.
De Rham cohomology and Differential operator · Differential form and Differential operator ·
Duality (mathematics)
In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. Such involutions sometimes have fixed points, so that the dual of A is A itself.
De Rham cohomology and Duality (mathematics) · Differential form and Duality (mathematics) ·
Exact sequence
An exact sequence is a concept in mathematics, especially in group theory, ring and module theory, homological algebra, as well as in differential geometry.
De Rham cohomology and Exact sequence · Differential form and Exact sequence ·
Exterior algebra
In mathematics, the exterior product or wedge product of vectors is an algebraic construction used in geometry to study areas, volumes, and their higher-dimensional analogs.
De Rham cohomology and Exterior algebra · Differential form and Exterior algebra ·
Exterior derivative
On a differentiable manifold, the exterior derivative extends the concept of the differential of a function to differential forms of higher degree.
De Rham cohomology and Exterior derivative · Differential form and Exterior derivative ·
Fundamental theorem of calculus
The fundamental theorem of calculus is a theorem that links the concept of differentiating a function with the concept of integrating a function.
De Rham cohomology and Fundamental theorem of calculus · Differential form and Fundamental theorem of calculus ·
Hodge star operator
In mathematics, the Hodge isomorphism or Hodge star operator is an important linear map introduced in general by W. V. D. Hodge.
De Rham cohomology and Hodge star operator · Differential form and Hodge star operator ·
Homology (mathematics)
In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.
De Rham cohomology and Homology (mathematics) · Differential form and Homology (mathematics) ·
Homotopy
In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.
De Rham cohomology and Homotopy · Differential form and Homotopy ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
De Rham cohomology and Mathematics · Differential form and Mathematics ·
Orientability
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point.
De Rham cohomology and Orientability · Differential form and Orientability ·
Riemannian manifold
In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M,g) is a real, smooth manifold M equipped with an inner product g_p on the tangent space T_pM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p \mapsto g_p(X(p),Y(p)) is a smooth function.
De Rham cohomology and Riemannian manifold · Differential form and Riemannian manifold ·
Smoothness
In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.
De Rham cohomology and Smoothness · Differential form and Smoothness ·
Stokes' theorem
In vector calculus, and more generally differential geometry, Stokes' theorem (also called the generalized Stokes theorem or the Stokes–Cartan theorem) is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus.
De Rham cohomology and Stokes' theorem · Differential form and Stokes' theorem ·
Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
De Rham cohomology and Topology · Differential form and Topology ·
The list above answers the following questions
- What De Rham cohomology and Differential form have in common
- What are the similarities between De Rham cohomology and Differential form
De Rham cohomology and Differential form Comparison
De Rham cohomology has 63 relations, while Differential form has 118. As they have in common 21, the Jaccard index is 11.60% = 21 / (63 + 118).
References
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