Totally real Klein bottles in $\textbf {C}^{2}$
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- by Walter Rudin PDF
- Proc. Amer. Math. Soc. 82 (1981), 653-654 Request permission
Abstract:
It is proved that ${{\mathbf {C}}^2}$ contains totally real compact submanifolds that are nonorientable, being homeomorphic to a Klein bottle.References
- S. I. Pinčuk, A boundary uniqueness theorem for holomorphic functions of several complex variables, Mat. Zametki 15 (1974), 205–212. MR 350065
- R. O. Wells Jr., Compact real submanifolds of a complex manifold with nondegenerate holomorphic tangent bundles, Math. Ann. 179 (1969), 123–129. MR 237823, DOI 10.1007/BF01350124
- R. O. Wells Jr., Real-analytic subvarieties and holomorphic approximation, Math. Ann. 179 (1969), 130–141. MR 239117, DOI 10.1007/BF01350125
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 653-654
- MSC: Primary 32A15; Secondary 32H99, 57N05
- DOI: https://doi.org/10.1090/S0002-9939-1981-0614897-1
- MathSciNet review: 614897