Shadows and convexity of surfaces

  title={Shadows and convexity of surfaces},
  author={Mohammad Ghomi},
We study the geometry and topology of immersed surfaces in Euclidean 3-space whose Gauss map satisfies a certain two-piece-property, and solve the “shadow problem” formulated by H. Wente. 

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Publications referenced by this paper.
Showing 1-10 of 21 references

Lashof, On the total curvature of immersed manifolds, Amer

R.K.S.-s. Chern
J. Math • 1957
View 4 Excerpts
Highly Influenced

Solution to the shadow problem in 3-space

M. Ghomi
Minimal Surfaces, Geometric Analysis and Symplectic Geometry • 2000
View 1 Excerpt

Personal e-mail

J. McCuan
June 23 • 1998

Function Theory of One Complex Variable

R. E. Greene, S. G. Krantz
John Wiley & Sons Inc., New York • 1997

Geometry in Curvature Theory



J. Choe
vision number and stability of complete minimal surfaces, Arch. Rational Mech. Anal. 109 • 1990
View 2 Excerpts

Index , vision number and stability of complete minimal surfaces

J. Choe.
Arch . Rational Mech . Anal . • 1990

Partial Differential Relations

M. Gromov
Springer-Verlag, New York • 1986

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