Open Access
June 2005 Affine semiparallel surfaces with constant Pick invariant
Mohamed BELKHELFA, Masao KATOU
Hokkaido Math. J. 34(2): 355-374 (June 2005). DOI: 10.14492/hokmj/1285766227

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.

Citation

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Mohamed BELKHELFA. Masao KATOU. "Affine semiparallel surfaces with constant Pick invariant." Hokkaido Math. J. 34 (2) 355 - 374, June 2005. https://doi.org/10.14492/hokmj/1285766227

Information

Published: June 2005
First available in Project Euclid: 29 September 2010

zbMATH: 1084.53009
MathSciNet: MR2159002
Digital Object Identifier: 10.14492/hokmj/1285766227

Subjects:
Primary: 53A15

Keywords: affine shape operator , affine sphere , Pick invariant , semiparallel

Rights: Copyright © 2005 Hokkaido University, Department of Mathematics

Vol.34 • No. 2 • June 2005
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