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On the problem of realization of a given Gaussian curvature function
 

Summary: 



On the problem of realization of a given


Gaussian curvature function



V. Arnold1



I._Introduction.__

The Gaussian curvature of a smooth surface embedded into the Euclidian

space is a smooth function on the surface. We investigate below the local

  

Source: Arnold, Vladimir Igorevich - Steklov Mathematical Institute

 

Collections: Mathematics