Abstract
This paper studies the topological restrictions for a smooth manifold to admit a submanifold whose complement is diffeomorphic to some Euclidean space ℝ. This problem is related to the old Blaschke conjecture in Riemannian Geometry.
Keywords
- Smooth Manifold
- Normal Bundle
- Homotopy Type
- Euler Class
- Cohomology Algebra
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© 1989 Springer-Verlag
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Gómez, F., Muñoz, M.C. (1989). Submanifolds with Euclidean complements. In: Carreras, F.J., Gil-Medrano, O., Naveira, A.M. (eds) Differential Geometry. Lecture Notes in Mathematics, vol 1410. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086426
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DOI: https://doi.org/10.1007/BFb0086426
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51885-3
Online ISBN: 978-3-540-46858-5
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