Solid angles and Seifert hypersurfaces
© 2020, The Author(s). Given a smooth closed oriented manifold M of dimension n embedded in Rn+2, we study properties of the ‘solid angle’ function Φ: Rn+2\ M→ S1. It turns out that a non-critical level set of Φ is an explicit Seifert hypersurface for M. This gives an explicit analytic construction...
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| Main Authors: | , , |
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| Format: | Journal |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85080992626&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68466 |
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| Institution: | Chiang Mai University |
| Summary: | © 2020, The Author(s). Given a smooth closed oriented manifold M of dimension n embedded in Rn+2, we study properties of the ‘solid angle’ function Φ: Rn+2\ M→ S1. It turns out that a non-critical level set of Φ is an explicit Seifert hypersurface for M. This gives an explicit analytic construction of a Seifert surface in higher dimensions. |
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