On Generalized Affine Rotation Surfaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1995 English Publisher:Springer Science and Business Media LLCJournal:Results in Mathematics, volume 27, pages 63-76 (issn: 0378-6218, eissn: 1420-9012,

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Authors: Lee, Isaac Chaujun;

doi: 10.1007/bf03322270

On Generalized Affine Rotation Surfaces

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Abstract

The concept of affine rotation surface is generalized so as to include one additional class of surfaces, which are called improper affine rotation surfaces. Affine tensors and invariants are calculated for these generalized affine rotation surfaces (GARS). It is shown that, with two exceptions, all affine unimodular homogeneous surfaces are GARS. Also affine minimal surfaces which are GARS are studied.

Related Organizations

National Sun Yat-sen University
Taiwan

Keywords

affine rotation surface, affine minimal surface, Affine differential geometry, affine normal, affine homogeneous surface

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