Surfaces of $E^ 4$ satisfying certain restrictions on their normal bundle
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- by Th. Hasanis, D. Koutroufiotis and P. Pamfilos PDF
- Trans. Amer. Math. Soc. 319 (1990), 329-347 Request permission
Abstract:
We consider smooth surfaces in ${E^4}$ whose normal bundles satisfy certain geometric conditions that entail the vanishing of the normal curvature, and prove that their Gauss curvatures cannot be bounded from above by a negative number. We also give some results towards a classification of flat surfaces with flat normal bundle in ${E^4}$.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 319 (1990), 329-347
- MSC: Primary 53A07; Secondary 53C45
- DOI: https://doi.org/10.1090/S0002-9947-1990-0955489-4
- MathSciNet review: 955489