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Simons cone

In geometry and geometric measure theory, the Simons cone refers to a specific minimal hypersurface in R 8 {\displaystyle \mathbb {R} ^{8}} that plays a crucial role in resolving Bernstein's problem in higher dimensions. It is named after American mathematician Jim Simons.

Applications, Definition & Original source

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Overview

Definition

Applications

Original source

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Map overview Semantic statistics

Simons cone

Nodes19
Edges18
Triples14
Avg. degree1.89
Density0.105263
Components1

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Simons cone

Top relations

has application · 12
Simons cone → Almgren Jr, Bernstein, Bombieri, De Giorgi, Ennio De Giorgi, Enrico Giusti, Frederick, Jim Simons, Simons, The, This, Wendell Fleming
related to Definition · 2
Simons cone → The Simons, This

Important terminology Word statistics

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Important terminology

simons cone displaystyle mathbb minimal dimensions problem higher hypersurface bernstein geometric measure theory bernstein's jim geometry theorem extended de giorgi

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Simons conehas applicationThe0.60section
Simons conehas applicationBernstein0.60section
Simons conehas applicationThis0.60section
Simons conehas applicationWendell Fleming0.60section
Simons conehas applicationEnnio De Giorgi0.60section
Simons conehas applicationFrederick0.60section
Simons conehas applicationAlmgren Jr0.60section
Simons conehas applicationJim Simons0.60section
Simons conehas applicationSimons0.60section
Simons conehas applicationBombieri0.60section
Simons conehas applicationDe Giorgi0.60section
Simons conehas applicationEnrico Giusti0.60section

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    Min side: 3
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