1975•Proceedings of the American Mathematical SocietyRequires access

Spherical Curves and their Analogues in Affine Differential Geometry

Erwin Kreyszig, A. Pendl

Abstract

Necessary and sufficient conditions for curves, in Euclidean space to be spherical are derived in a fashion which can be generalized to affine differential geometry and analogues of those curves. This also includes a discussion of some geometrical aspects in recent papers by S. Breuer, D. Gottlieb, and Y.-C. Wong.

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Key concepts: Affine geometry of curves, Differential geometry of curves, Affine geometry, Affine transformation, Differential geometry, Geometry, Mathematics, Affine space