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2019 On Analogues of Bäcklund Theorem in Affine Differential Geometry of Surfaces
Maria Robaszewska
J. Geom. Symmetry Phys. 54: 79-110 (2019). DOI: 10.7546/jgsp-54-2019-79-110

Abstract

Here we recall the well-known Chern–Terng theorem concerning affine minimal surfaces. After that we formulate some complementary (with transversal fields necessarily not parallel) affine Bäcklund theorem. Next, we describe some geometrical conditions which imply the local symmetry of both induced connections. Finally, we give some necessary and sufficient conditions under which the affine fundamental forms are proportional.

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Maria Robaszewska. "On Analogues of Bäcklund Theorem in Affine Differential Geometry of Surfaces." J. Geom. Symmetry Phys. 54 79 - 110, 2019. https://doi.org/10.7546/jgsp-54-2019-79-110

Information

Published: 2019
First available in Project Euclid: 5 January 2020

zbMATH: 1444.53014
Digital Object Identifier: 10.7546/jgsp-54-2019-79-110

Rights: Copyright © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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