Transformations between surfaces in R^4 with flat normal and/or tangent bundles

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 norma...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Author Montesinos-Amilibia, Angel
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 24.10.2005
Subjects
Bundling
Flat surfaces
Transformations
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2331-8422