Deformations of Surfaces in 4-space

Show simple item record Yashiro, Tsukasa en 2009-08-28T03:23:02Z en 2009-08-28T03:23:02Z en 2002-08 en
dc.identifier.citation Department of Mathematics - Research Reports-488 (2002) en
dc.identifier.issn 1173-0889 en
dc.identifier.uri en
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. en
dc.publisher Department of Mathematics, The University of Auckland, New Zealand en
dc.relation.ispartofseries Research Reports - Department of Mathematics en
dc.rights.uri en
dc.source.uri en
dc.title Deformations of Surfaces in 4-space en
dc.type Technical Report en
dc.subject.marsden Fields of Research::230000 Mathematical Sciences::230100 Mathematics en
dc.rights.holder The author(s) en

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