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- Yamabe_problem abstract "The Yamabe problem in differential geometry concerns the existence of Riemannian metrics with constant scalar curvature, and takes its name from the mathematician Hidehiko Yamabe. Yamabe (1960) claimed to have a solution, but Trudinger (1968) discovered a critical errorin his proof. The combined work of Neil Trudinger, Thierry Aubin, and Richard Schoen later provided a complete solution to the problem in 1984.The Yamabe problem is the following: given a smooth, compact manifold M of dimension n ≥ 3 with a Riemannian metric g, does there exist a metric g' conformal to g for which the scalar curvature of g' is constant? In other words, does a smooth function f exist on M for whichthe metric g' = e2fg has constant scalar curvature? The answer is now known to be yes, and was proved using techniques from differential geometry, functional analysis and partial differential equations.".
- Yamabe_problem wikiPageExternalLink item?id=ASNSP_1968_3_22_2_265_0.
- Yamabe_problem wikiPageExternalLink BFb0082927.
- Yamabe_problem wikiPageExternalLink 1200689814.
- Yamabe_problem wikiPageID "11757994".
- Yamabe_problem wikiPageLength "3385".
- Yamabe_problem wikiPageOutDegree "20".
- Yamabe_problem wikiPageRevisionID "699186939".
- Yamabe_problem wikiPageWikiLink Category:Mathematical_problems.
- Yamabe_problem wikiPageWikiLink Category:Riemannian_geometry.
- Yamabe_problem wikiPageWikiLink Compact_space.
- Yamabe_problem wikiPageWikiLink Conformal_map.
- Yamabe_problem wikiPageWikiLink Differential_geometry.
- Yamabe_problem wikiPageWikiLink Functional_analysis.
- Yamabe_problem wikiPageWikiLink Hidehiko_Yamabe.
- Yamabe_problem wikiPageWikiLink Manifold.
- Yamabe_problem wikiPageWikiLink Neil_Trudinger.
- Yamabe_problem wikiPageWikiLink Partial_differential_equation.
- Yamabe_problem wikiPageWikiLink Richard_Schoen.
- Yamabe_problem wikiPageWikiLink Riemannian_manifold.
- Yamabe_problem wikiPageWikiLink Scalar_curvature.
- Yamabe_problem wikiPageWikiLink Thierry_Aubin.
- Yamabe_problem wikiPageWikiLink Yamabe_flow.
- Yamabe_problem wikiPageWikiLink Yamabe_invariant.
- Yamabe_problem wikiPageWikiLinkText "Yamabe Conjecture".
- Yamabe_problem wikiPageWikiLinkText "Yamabe problem".
- Yamabe_problem wikiPageWikiLinkText "Yamabe".
- Yamabe_problem wikiPageUsesTemplate Template:Citation.
- Yamabe_problem wikiPageUsesTemplate Template:Differential-geometry-stub.
- Yamabe_problem wikiPageUsesTemplate Template:Harvtxt.
- Yamabe_problem wikiPageUsesTemplate Template:Math.
- Yamabe_problem wikiPageUsesTemplate Template:Reflist.
- Yamabe_problem subject Category:Mathematical_problems.
- Yamabe_problem subject Category:Riemannian_geometry.
- Yamabe_problem comment "The Yamabe problem in differential geometry concerns the existence of Riemannian metrics with constant scalar curvature, and takes its name from the mathematician Hidehiko Yamabe. Yamabe (1960) claimed to have a solution, but Trudinger (1968) discovered a critical errorin his proof.".
- Yamabe_problem label "Yamabe problem".
- Yamabe_problem sameAs Q3406245.
- Yamabe_problem sameAs Problème_de_Yamabe.
- Yamabe_problem sameAs 山辺問題.
- Yamabe_problem sameAs Problema_de_Yamabe.
- Yamabe_problem sameAs m.02rr9l2.
- Yamabe_problem sameAs Задача_Ямабе.
- Yamabe_problem sameAs Q3406245.
- Yamabe_problem sameAs 山邊問題.
- Yamabe_problem wasDerivedFrom Yamabe_problem?oldid=699186939.
- Yamabe_problem isPrimaryTopicOf Yamabe_problem.