#nash embedding theorem

[theunlitpath]

The unforgettable bar scene from A Beautiful Mind where John Nash gets the idea for his theorem about continuously differentiable embeddings.

[marcedrickirby]

Nash Embedding Theorem - Numberphile

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[mathematics12]

Notable Accomplishments and Deeds

Among Nash's other groundbreaking math theories: the Nash-Moser inverse function theorem, the Nash–De Giorgi theorem, the Nash embedding theorems, which the Norwegian Academy of Science and Letters said were "among the most original results in geometric analysis of the twentieth century”.

Source: https://www.investopedia.com/terms/j/john-f-nash-jr.asp

[arxt1]

Scalar field propagation in braneworld black hole scenario obtained from Nash theorem. (arXiv:1809.08363v1 [gr-qc])

We determine the scalar field evolution of a braneworld localized black hole with both dark matter and dark energy components, obtained within a dynamical and continuous embedding formalism by use of Nash's theorem. We further extract the associated quasinormal modes for both de Sitter-Schwarzschild-Dark matter and anti-de Sitter-Schwarzschild-Dark matter solutions, for the different causal structures (one, two or three horizon spacetimes) given by the space of parameters. By comparison with standard General Relativity solutions, we infer possible observable astrophysical differences, and remark on modifications to previous AdS/CFT correspondence scenarios.

from gr-qc updates on arXiv.org https://ift.tt/2PYxnBN