# Hokkaido Mathematical Journal

## Hokkaido Mathematical Journal, 34 (2005) pp.355-374

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### Abstract

In this paper, we classify all affine semiparallel surfaces in ${\mathbb R}^3$ with constant Pick invariant. As its application, we can characterize affine semiparallel surfaces of constant Pick invariant but of which shape operators are not parallel.

MSC(Primary) 53A15 affine shape operator, Pick invariant, affine sphere, semiparallel