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Abstract We classify biharmonic semi-conformal maps from domains of Euclidean 3-space whose fibres are arcs of circles in terms of holomorphic data. The geometry behind this classification enables us to… Click to show full abstract
Abstract We classify biharmonic semi-conformal maps from domains of Euclidean 3-space whose fibres are arcs of circles in terms of holomorphic data. The geometry behind this classification enables us to give an integral formula which produces biharmonic maps which are now no longer necessarily semi-conformal. An integral invariant for bounded singular sets of more general semi-conformal maps is obtained.
Keywords:
biharmonic maps;
geometry;
integral formula;
euclidean space
Journal Title: Differential Geometry and Its Applications
Year Published: 2018
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Journal Title: Differential Geometry and Its Applications
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!