dc.contributor.author |
Yashiro, Tsukasa |
en |
dc.date.accessioned |
2009-08-28T03:23:02Z |
en |
dc.date.available |
2009-08-28T03:23:02Z |
en |
dc.date.issued |
2002-08 |
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dc.identifier.citation |
Department of Mathematics - Research Reports-488 (2002) |
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dc.identifier.issn |
1173-0889 |
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dc.identifier.uri |
http://hdl.handle.net/2292/5139 |
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dc.description.abstract |
In this paper we describe geometric properties of embedded liftabilities of immersed 3--manifolds in 4--space into 5--space. It is known that a regular homotopy class of an immersed orientable surface in 3--space is constructed by a pair of an embedded surface and an immersed circle on it. We found an isotopy between embedded lifts of these constructed immersions in 4--space, which covers a regular homotopy of their projections in 3--space. Also we construct non-liftable immersed 3--spheres without quadruple points. |
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dc.publisher |
Department of Mathematics, The University of Auckland, New Zealand |
en |
dc.relation.ispartofseries |
Research Reports - Department of Mathematics |
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dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.source.uri |
http://www.math.auckland.ac.nz/Research/Reports/view.php?id=488 |
en |
dc.title |
Deformations of Surfaces in 4-space |
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dc.type |
Technical Report |
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dc.subject.marsden |
Fields of Research::230000 Mathematical Sciences::230100 Mathematics |
en |
dc.rights.holder |
The author(s) |
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