Nash embedding theorem
The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash, state that every Riemannian manifold can be isometrically embedded into some Euclidean space. Isometric means preserving the length of every path. For instance, bending but neither stretching nor tearing a page of paper gives an isometric embedding of the page into Euclidean space because curves drawn on the page retain the same arclength however the page is bent.
known for
Wikipage disambiguates
A Beautiful Mind (film)Banach fixed-point theoremChern–Gauss–Bonnet theoremClassification of manifoldsClifford torusDevelopable surfaceDifferential geometryEmbeddingFilling area conjectureFlat manifoldHilbert's theorem (differential geometry)Homotopy principleJohn_Forbes_Nash_Jr.List of Nobel Memorial Prize laureates in EconomicsList of differential geometry topicsList of eponyms (L–Z)List of mathematical proofsList of scientific laws named after peopleList of theoremsManifoldMaps of manifoldsMaurice JanetMikhael Gromov (mathematician)NashNash's embedding theoremNash's theoremNash-Kuiper theoremNash Embedding TheoremNash embedding theoremsNash imbedding theoremNash isometric embedding theoremNash theorems (in differential geometry)Nash–Kuiper theoremNash–Moser theoremNicolaas KuiperRepresentation theoremRichard S. HamiltonRiemannian geometryRiemannian manifoldSéminaire Nicolas Bourbaki (1960–1969)
Link from a Wikipage to another Wikipage
primaryTopic
Nash embedding theorem
The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash, state that every Riemannian manifold can be isometrically embedded into some Euclidean space. Isometric means preserving the length of every path. For instance, bending but neither stretching nor tearing a page of paper gives an isometric embedding of the page into Euclidean space because curves drawn on the page retain the same arclength however the page is bent.
has abstract
De inbeddingstelling van Nash ...... dezelfde booglengte behouden.
@nl
Els teoremes d'immersió de Nas ...... bvarietat de l'espai euclidià.
@ca
En géométrie différentielle, l ...... ais se démontre difficilement.
@fr
Los teoremas de inmersión de N ...... en 1966 por John Forbes Nash.
@es
Os teoremas de imersão de Nash ...... em 1966 por John Forbes Nash.
@pt
The Nash embedding theorems (o ...... ping theorem could be applied.
@en
Теорема Нэша о регулярных влож ...... а было дано Матиасом Гюнтером.
@ru
ジョン・フォーブス・ナッシュ (John Forbes Na ...... 型偏微分方程式系を楕円系に帰着させ、が適用できるようにした。
@ja
納許嵌入定理(Nash embedding theorems ...... 性偏微分方程組約化成橢圓系統，而壓縮映射定理能夠應用於後者。
@zh
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,017,805,350
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
comment
De inbeddingstelling van Nash ...... dezelfde booglengte behouden.
@nl
Els teoremes d'immersió de Nas ...... bvarietat de l'espai euclidià.
@ca
En géométrie différentielle, l ...... orèmes de plongement de Nash :
@fr
Los teoremas de inmersión de N ...... en 1966 por John Forbes Nash.
@es
Os teoremas de imersão de Nash ...... em 1966 por John Forbes Nash.
@pt
The Nash embedding theorems (o ...... ngth however the page is bent.
@en
Теорема Нэша о регулярных влож ...... ости теорема справедлива для .
@ru
ジョン・フォーブス・ナッシュ (John Forbes Na ...... は非常に技巧的であるが結果はそれほど驚くようなものではない。
@ja
納許嵌入定理(Nash embedding theorems ...... 性偏微分方程組約化成橢圓系統，而壓縮映射定理能夠應用於後者。
@zh
label
Einbettungssatz von Nash
@de
Inbeddingstelling van Nash
@nl
Nash embedding theorem
@en
Teorema d'immersió de Nash
@ca
Teorema de imersão de Nash
@pt
Teorema de inmersión de Nash
@es
Théorème de plongement de Nash
@fr
Теорема Нэша о регулярных вложениях
@ru
ナッシュの埋め込み定理
@ja
纳什嵌入定理
@zh