Topology of Surfaces with Connected Shades

Mohammad Ghomi

doi:ajm/1209735313

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Home > Journals > Asian J. Math. > Volume 11 > Issue 4 > Article

December 2007 Topology of Surfaces with Connected Shades

Mohammad Ghomi

Asian J. Math. 11(4): 621-634 (December 2007).

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Abstract

We prove that any closed orientable surface may be smoothly embedded in Euclidean 3-space so that when it is illuminated by parallel rays from any direction the shade cast on the surface is connected.