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Proceedings of the American Mathematical Society

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Totally real Klein bottles in $ {\bf C}\sp{2}$


Author: Walter Rudin
Journal: Proc. Amer. Math. Soc. 82 (1981), 653-654
MSC: Primary 32A15; Secondary 32H99, 57N05
MathSciNet review: 614897
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Abstract: It is proved that $ {{\mathbf{C}}^2}$ contains totally real compact submanifolds that are nonorientable, being homeomorphic to a Klein bottle.


References [Enhancements On Off] (What's this?)

  • [1] S. I. Pinčuk, A boundary uniqueness theorem for holomorphic functions of several complex variables, Mat. Zametki 15 (1974), 205–212. MR 0350065
  • [2] R. O. Wells Jr., Compact real submanifolds of a complex manifold with nondegenerate holomorphic tangent bundles, Math. Ann. 179 (1969), 123–129. MR 0237823
  • [3] R. O. Wells Jr., Real-analytic subvarieties and holomorphic approximation, Math. Ann. 179 (1969), 130–141. MR 0239117

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0614897-1
Article copyright: © Copyright 1981 American Mathematical Society