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Given an n-dimensional convex surface X0 in the Euclidean space ℝn+1, this initial surface can be deformed into a convex surface with constant width by a new evolution model which… Click to show full abstract
Given an n-dimensional convex surface X0 in the Euclidean space ℝn+1, this initial surface can be deformed into a convex surface with constant width by a new evolution model which preserves the convexity of the evolving surface, provided that the initial principal curvatures satisfy a 1 3-pinching condition. Some examples of the flow are also constructed via spherical harmonic expansion of the support function.
Keywords:
surface;
convex;
constant width;
surfaces constant;
evolving convex;
convex surfaces
Journal Title: International Journal of Mathematics
Year Published: 2017
Link to full text (if available)
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Journal Title: International Journal of Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!