Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Georges_de_Rham> ?p ?o. }
- Georges_de_Rham abstract "Georges de Rham (French: [dəʁam]; 10 September 1903 – 9 October 1990) was a Swiss mathematician, known for his contributions to differential topology.He studied at the University of Lausanne and then in Paris for a doctorate, becoming a lecturer in Lausanne in 1931; where he held positions until retirement in 1971; he held positions in Geneva in parallel.In 1931 he proved de Rham's theorem, identifying the de Rham cohomology groups as topological invariants. This proof can be considered as sought-after, since the result was implicit in the points of view of Henri Poincaré and Élie Cartan. The first proof of the general Stokes' theorem, for example, is attributed to Poincaré, in 1899. At the time there was no cohomology theory, one could reasonably say: for manifolds the homology theory was known to be self-dual with the switch of dimension to codimension (that is, from Hk to Hn-k, where n is the dimension). That is true, anyway, for orientable manifolds, an orientation being in differential form terms an n-form that is never zero (and two being equivalent if related by a positive scalar field). The duality can be reformulated, to great advantage, in terms of the Hodge dual—intuitively, 'divide into' an orientation form—as it was in the years succeeding the theorem. Separating out the homological and differential form sides allowed the coexistence of 'integrand' and 'domains of integration', as cochains and chains, with clarity. De Rham himself developed a theory of homological currents, that showed how this fitted with the generalised function concept.The influence of de Rham’s theorem was particularly great during the development of Hodge theory and sheaf theory.De Rham also worked on the torsion invariants of smooth manifolds.".
- Georges_de_Rham almaMater University_of_Lausanne.
- Georges_de_Rham almaMater University_of_Paris.
- Georges_de_Rham birthDate "1903-09-10".
- Georges_de_Rham birthPlace Roche,_Vaud.
- Georges_de_Rham birthYear "1903".
- Georges_de_Rham deathDate "1990-10-09".
- Georges_de_Rham deathPlace Lausanne.
- Georges_de_Rham deathYear "1990".
- Georges_de_Rham doctoralAdvisor Henri_Lebesgue.
- Georges_de_Rham doctoralStudent Manoutcher_Vassal.
- Georges_de_Rham doctoralStudent Pierre-Denis_Meth%C3%A9e.
- Georges_de_Rham doctoralStudent Pierre_Jeanquartier.
- Georges_de_Rham doctoralStudent Serge_Maumary.
- Georges_de_Rham field Mathematics.
- Georges_de_Rham knownFor De_Rham_cohomology.
- Georges_de_Rham knownFor De_Rham_curve.
- Georges_de_Rham nationality Switzerland.
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- Georges_de_Rham almaMater University_of_Paris.
- Georges_de_Rham almaMater "University of Lausanne".
- Georges_de_Rham birthDate "1903-09-10".
- Georges_de_Rham birthPlace Roche,_Vaud.
- Georges_de_Rham dateOfBirth "1903-09-10".
- Georges_de_Rham dateOfDeath "1990-10-09".
- Georges_de_Rham deathDate "1990-10-09".
- Georges_de_Rham deathPlace Lausanne.
- Georges_de_Rham doctoralAdvisor Henri_Lebesgue.
- Georges_de_Rham doctoralStudents Manoutcher_Vassal.
- Georges_de_Rham doctoralStudents Pierre_Jeanquartier.
- Georges_de_Rham doctoralStudents Serge_Maumary.
- Georges_de_Rham doctoralStudents Pierre-Denis_Methée.
- Georges_de_Rham fields Mathematics.
- Georges_de_Rham hasPhotoCollection Georges_de_Rham.
- Georges_de_Rham knownFor De_Rham_cohomology.
- Georges_de_Rham knownFor De_Rham_curve.
- Georges_de_Rham name "De Rham, Georges".
- Georges_de_Rham name "Georges de Rham".
- Georges_de_Rham nationality Switzerland.
- Georges_de_Rham placeOfBirth Roche,_Vaud.
- Georges_de_Rham placeOfDeath Lausanne.
- Georges_de_Rham shortDescription "Swiss mathematician".
- Georges_de_Rham workplaces University_of_Geneva.
- Georges_de_Rham workplaces University_of_Lausanne.
- Georges_de_Rham description "Swiss mathematician".
- Georges_de_Rham description "Swiss mathematician".
- Georges_de_Rham subject Category:1903_births.
- Georges_de_Rham subject Category:1990_deaths.
- Georges_de_Rham subject Category:20th-century_mathematicians.
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- Georges_de_Rham subject Category:Swiss_mathematicians.
- Georges_de_Rham subject Category:Topologists.
- Georges_de_Rham subject Category:University_of_Lausanne_alumni.
- Georges_de_Rham subject Category:University_of_Paris_alumni.
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- Georges_de_Rham comment "Georges de Rham (French: [dəʁam]; 10 September 1903 – 9 October 1990) was a Swiss mathematician, known for his contributions to differential topology.He studied at the University of Lausanne and then in Paris for a doctorate, becoming a lecturer in Lausanne in 1931; where he held positions until retirement in 1971; he held positions in Geneva in parallel.In 1931 he proved de Rham's theorem, identifying the de Rham cohomology groups as topological invariants.".
- Georges_de_Rham label "Georges de Rham".
- Georges_de_Rham label "Georges de Rham".
- Georges_de_Rham label "Georges de Rham".
- Georges_de_Rham label "Georges de Rham".
- Georges_de_Rham label "Georges de Rham".
- Georges_de_Rham label "Georges de Rham".
- Georges_de_Rham label "Де Рам, Жорж".
- Georges_de_Rham label "乔治·德拉姆".
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