EXISTENCE RESULTS OF TOTALLY REAL IMMERSIONS AND EMBEDDINGS INTO ℂ
We prove that the existence of totally real immersions of manifolds is a closed property under cut-and-paste constructions along submanifolds including connected sums. We study the existence of totally real embeddings for simply connected 5-manifolds and orientable 6-manifolds and determine the diff...
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Veröffentlicht in: | Proceedings of the American Mathematical Society 2018-12, Vol.146 (12), p.5463-5473 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | We prove that the existence of totally real immersions of manifolds is a closed property under cut-and-paste constructions along submanifolds including connected sums. We study the existence of totally real embeddings for simply connected 5-manifolds and orientable 6-manifolds and determine the diffeomorphism and homotopy types. We show that the fundamental group is not an obstruction for the existence of a totally real embedding for high-dimensional manifolds in contrast with the situation in dimension four. |
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ISSN: | 0002-9939 1088-6826 |
DOI: | 10.1090/proc/14234 |