Nirenberg's conjecture
From HandWiki
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
- ↑ Jorge, Luquesio P.; Mercuri, Francesco (2016). "The Gauss map of a complete non flat minimalsurface". arXiv:1607.07492 [math.DG].
- ↑ O'Shea, Donal (1987). "The Bernstein-Osserman-Xavier theorems". http://www.numdam.org/article/AST_1987__154-155__95_0.pdf. O'Shea, Donal B. – ]
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