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Abstract In this paper, we classify the rotational surfaces with constant skew curvature in 3-space forms. We also give a variational characterization of the profile curves of these surfaces as… Click to show full abstract
Abstract In this paper, we classify the rotational surfaces with constant skew curvature in 3-space forms. We also give a variational characterization of the profile curves of these surfaces as critical points of a curvature energy involving the exponential of the curvature of the curve. Finally, we provide a converse process to produce all rotational surfaces with constant skew curvature based on the evolution of a critical curve under the flow of its binormal vector field with prescribed velocity.
Keywords:
rotational surfaces;
skew curvature;
constant skew;
surfaces constant;
curvature space;
curvature
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!