A New Approach to Rotational Weingarten Surfaces

  title={A New Approach to Rotational Weingarten Surfaces},
  author={Paula Carretero and Ildefonso Castro},
Weingarten surfaces are those whose principal curvatures satisfy a functional relation, whose set of solutions is called the curvature diagram or the W-diagram of the surface. Making use of the notion of geometric linear momentum of a plane curve, we propose a new approach to the study of rotational Weingarten surfaces in Euclidean 3-space. Our contribution consists of reducing any type of Weingarten condition on a rotational surface to a first-order differential equation on the momentum of the… 
1 Citations
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  • B. van-BruntK. Grant
  • Mathematics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1994
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