Nirenberg's Conjecture
If the Gauss Map of a complete minimal surface omits a Neighborhood of the Sphere, then the surfaceis a Plane. This was proven by Osserman (1959). Xavier (1981) subsequently generalized the result as follows.If the Gauss Map of a complete Minimal Surface omits 
points, then the surface is a Plane.
References
do Carmo, M. P. Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer). Braunschweig, Germany: Vieweg, p. 42, 1986. Osserman, R. ``Proof of a Conjecture of Nirenberg.'' Comm. Pure Appl. Math. 12, 229-232, 1959. Xavier, F. ``The Gauss Map of a Complete Nonflat Minimal Surface Cannot Omit 7 Points on the Sphere.'' Ann. Math. 113, 211-214, 1981.
- Volterra Integral Equation of the First Kind
- Volterra Integral Equation of the Second Kind
- Volume
- Volume Element
- Volume Integral
- von Aubel's Theorem
- von Dyck's Theorem
- von Mangoldt Function
- von Neumann Algebra
- von Staudt-Clausen Theorem
- von Staudt Theorem
- Voronoi Cell
- Voronoi Diagram
- Voronoi Polygon
- Voting
- VR Number
- Vulgar Series
- W2-Constant
- Wada Basin
- Walk
- Wallace-Bolyai-Gerwein Theorem
- Wallace-Simson Line
- Wallis Cosine Formula
- Wallis Formula
- Wallis's Conical Edge