Transformations between surfaces in R^4 with flat normal and/or tangent bundles
Differential Geometry
2007-05-23 v2
Abstract
We exhibit several transformations of surfaces in R^4. First, one that takes a flat surface and gets a surface with flat normal bundle; then, one that takes a surface with flat normal bundle and gets a flat surface; finally, a one-parameter family of transformations on a flat surface with flat normal bundle and gives a flat surface with flat normal bundle. This family satisfies a permutability property.
Keywords
Cite
@article{arxiv.math/0510413,
title = {Transformations between surfaces in R^4 with flat normal and/or tangent bundles},
author = {Angel Montesinos-Amilibia},
journal= {arXiv preprint arXiv:math/0510413},
year = {2007}
}
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12 pages