Equivariant deformations of horospherical surfaces. Michael Benjamin Deutsch

ISBN: 9781109734812

Published:

NOOKstudy eTextbook

111 pages


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Equivariant deformations of horospherical surfaces.  by  Michael Benjamin Deutsch

Equivariant deformations of horospherical surfaces. by Michael Benjamin Deutsch
| NOOKstudy eTextbook | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 111 pages | ISBN: 9781109734812 | 5.53 Mb

The classical Goursat transform for minimal surfaces is interpreted as conformal transformation of the Gauss map, allowing us to bend these surfaces for certain geometric purposes. A simple analogue of this deformation is defined for CMC1 surfaces which makes the Goursat transform equivariant with respect to the Lawson correspondence, thereby increasing the number of explicitly computable examples of minimal/CMC1 cousin pairs.

We then indicate how the Goursat transformation law and integrability conditions for the spin curve of a horospherical surface are analogous to the Lorentz transformation law and equations of motion for the wavefunction of a massless fermion.



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