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Bernstein's problem

In differential geometry, Bernstein's problem is as follows: if the graph of a function on Rn−1 is a minimal surface in Rn, does this imply that the function is linear? This is true for n at most 8, but false for n at least 9. The problem is named for Sergei Natanovich Bernstein who solved the case n = 3 in 1914.

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Bernstein's problem

Nodes8
Edges7
Triples4
Avg. degree1.75
Density0.25
Components1

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Bernstein's problem

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related to Statement · 4
Bernstein's problem → Bernstein's, Rn, Suppose, The

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Important terminology

theorem bernstein's minimal bernstein problem cone doi issn mr rn de showed 10 function surface non-planar giorgi simons graph true

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bernstein's problemrelated to StatementSuppose0.60section
Bernstein's problemrelated to StatementThe0.60section
Bernstein's problemrelated to StatementRn0.60section
Bernstein's problemrelated to StatementBernstein's0.60section

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    Min side: 3
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