Transformations between surfaces in with flat normal and/or tangent bundles
Angel Montesinos-Amilibia
Universitat de València, Burjassot (Valencia), Spain
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Abstract
We exhibit several transformations of surfaces in : a transformation of flat surfaces that gives surfaces with flat normal bundle (semiumbilical surfaces); and its inverse that from a semiumbilical surface obtains a flat surface; then a one-parameter family of transformations on flat semiumbilical immersed surfaces (FSIS), such that is totally orthogonal to and that give FSIS. This family satisfies a Bianchi type of permutability property.
Cite this article
Angel Montesinos-Amilibia, Transformations between surfaces in with flat normal and/or tangent bundles. Rev. Mat. Iberoam. 24 (2008), no. 1, pp. 71–90
DOI 10.4171/RMI/530