Hairy Ball Theorem

There does not exist an everywhere Nonzero tangent Vector Field on the 2-Sphere . This impliesthat somewhere on the surface of the Earth, there is a point with zero horizontal wind velocity. The theoremcan be generalized to the statement that the -sphere has a nonzero tangent vector field Iff is Odd.

• Elliptic Delta Function
• Elliptic Exponential Function
• Elliptic Fixed Point (Differential Equations)
• Elliptic Fixed Point (Map)
• Elliptic Function
• Elliptic Functional
• Elliptic Geometry
• Elliptic Group Modulo p
• Elliptic Helicoid
• Elliptic Hyperboloid
• Elliptic Integral
• Elliptic Integral of the First Kind
• Elliptic Integral of the Second Kind
• Elliptic Integral of the Third Kind
• Elliptic Integral Singular Value
• Elliptic Integral Singular Value k1
• Elliptic Integral Singular Value k2
• Elliptic Integral Singular Value k3
• Ellipticity
• Elliptic Lambda Function
• Elliptic Logarithm
• Elliptic Modular Function
• Elliptic Paraboloid
• Elliptic Partial Differential Equation
• Elliptic Plane