Abstract
In the present study we consider spherical product surfaces X = axb of two 2D curves in E3. We prove that if a spherical product surface patch X = axb has vanishing Gaussian curvature K (i.e. a flat surface) then either a or b is a straight line. Further, we prove that if a(u) is a straight line and b(v) is a 2D curve then the spherical product is a non-minimal and flat surface. We also prove that if b(v) is a straight line passing through origin and a(u) is any 2D curve (which is not a line) then the spherical product is both minimal and flat. We also give some examples of spherical product surface patches with potential applications to visual cyberworlds.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
