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Submanifolds with Euclidean complements

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1410)

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

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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

  • eBook Packages: Springer Book Archive