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The Quarterly Journal of Mathematics 2001 52(2):137-160; doi:10.1093/qjmath/52.2.137
© 2001 by Oxford University Press
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Bitangencies on Surfaces in Four Dimensions

Daniel Dreibelbis1

1 Department of Mathematics, University of North Florida, 4567 St John's Bluff Road, Jacksonville, Florida 32224, USA. E-mail: ddreibel@unf.edu

We derive a formula relating the number of bitangencies, the number of double points and the normal Euler number of a generic closed surface in four-dimensional Euclidean space. We give a geometric interpretation of the sign of a bitangency, and also we give a geometric interpretation of the correction term (the diagonal contribution) in the formula.


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