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De Rham cohomology

In mathematics, de Rham cohomology (named after Georges de Rham) is a tool belonging both to algebraic topology and to differential topology, capable of expressing basic topological information about smooth manifolds in a form particularly adapted to computation and the concrete representation of cohomology classes. It is a cohomology theory based on the…

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Overview

Definition

De Rham cohomology computed

De Rham theorem

Sheaf-theoretic de Rham isomorphism

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De Rham cohomology

Nodes91
Edges90
Triples40
Avg. degree1.98
Density0.021978
Components1

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De Rham cohomology

Top relations

related to Related ideas · 10
De Rham cohomology → Atiyah, Dolbeault, Firstly, For, Hodge, However, Rham, Singer, The, This
related to External links · 8
De Rham cohomology → De Rham, Dec, EMS Press, Encyclopedia, Feb, Idea, Mathematics, Mathifold Project
related to De Rham cohomology computed · 6
De Rham cohomology → Another, Mayer, One, Rham, Vietoris, While
related to De Rham theorem · 6
De Rham cohomology → Georges, It, More, Rham, Rham's, Stokes
related to Sheaf-theoretic de Rham isomorphism · 5
De Rham cohomology → For, Hausdorff, Note, Rham, Then
see also · 4
De Rham cohomology → Hodge, Kähler, Rham, Sheaf
is a · 1
De Rham cohomology → homotopy invariant

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Important terminology

displaystyle cohomology de rham forms manifold exact omega closed differential mathbb harmonic one form smooth space theorem hodge dr textstyle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
De Rham cohomologyis ahomotopy invariant0.90text
De Rham cohomologyrelated to De Rham cohomology computedOne0.60section
De Rham cohomologyrelated to De Rham cohomology computedRham0.60section
De Rham cohomologyrelated to De Rham cohomology computedMayer0.60section
De Rham cohomologyrelated to De Rham cohomology computedVietoris0.60section
De Rham cohomologyrelated to De Rham cohomology computedAnother0.60section
De Rham cohomologyrelated to De Rham cohomology computedWhile0.60section
De Rham cohomologyrelated to De Rham theoremStokes0.60section
De Rham cohomologyrelated to De Rham theoremRham0.60section
De Rham cohomologyrelated to De Rham theoremIt0.60section
De Rham cohomologyrelated to De Rham theoremRham's0.60section
De Rham cohomologyrelated to De Rham theoremGeorges0.60section

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