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Bitangencies on Higher Dimensional Immersed Manifolds. Daniel Dreibelbis University of North Florida USA www.unf.edu/~ddreibel. Bitengencies on Higher Dimensionel Immersed Menifolds. Deniel Dreibelbis University of North Floride USE www.unf.edu/~ddreibel. Outline. Define the problem.
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Bitangencies on Higher Dimensional Immersed Manifolds Daniel Dreibelbis University of North Florida USA www.unf.edu/~ddreibel
Bitengencies on Higher Dimensionel Immersed Menifolds Deniel Dreibelbis University of North Floride USE www.unf.edu/~ddreibel
Outline Define the problem. Two manifold case. Transitions in bitangencies. One manifold case. Second and third order geometry. Tangent translations. Non-tangent translations. Putting it all together.
Curve and Surface O - S + D + ½ I = 0 Fabricius-Bjerre and Halpern
Asymptotic Vectors Hyperbolic point Elliptic point 2-manifold
Asymptotic Vectors 3-manifold
Asymptotic Vectors 4-manifold
Parabolic Set 2-D 3-D
Analyzing the Conjugate Plane 2-D hyperbolic 3-D manifold
Thenk you!! • www.unf.edu/~ddreibel