Nirenberg's conjecture
In mathematics, Nirenberg's conjecture, now Osserman's theorem, states that if a neighborhood of the sphere is omitted by the Gauss map of a complete minimal surface, then the surface in question is a plane. It was proved by Robert Osserman in 1959.[1][2]
Original reference[]
- Osserman, R (1959) . "Proof of a Conjecture of Nirenberg." Comm. Pure Appl. Math. 12, pp. 229–232.
References[]
- ^ "The Gauss map of a complete non flat minimalsurface" (PDF). arxiv.org. Retrieved 2021-03-20.
- ^ O'Shea, Donal (1987). "The Bernstein-Osserman-Xavier theorems" (PDF). www.numdam.org. Retrieved 2021-03-20. O'Shea, Donal B. – ]
External links[]
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