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.

Source: Wikipedia — Bernstein's problem (CC BY-SA 4.0)

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.

Source: Wikipedia "Bernstein's problem" · CC BY-SA 4.0

Share this article: X · Bluesky
Privacy Policy