PICK INVARIANT AND AFFINE GAUSS-KRONECKER CURVATURE

被引：1

作者：

MILAN, F ^{[1
]}

机构：

[1] UNIV GRANADA,FAC CIENCIAS,DEPT GEOMETRIA & TOPOL,E-18071 GRANADA,SPAIN

来源：

GEOMETRIAE DEDICATA | 1993年 / 45卷 / 01期

关键词：

D O I：

10.1007/BF01667402

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The elliptic paraboloid and the homogeneous affine surface given by (u, v, 1/2(u2 + v-2/3)), v > 0, are characterized as locally strongly convex affine surfaces in A3, with constant Pick invariant and vanishing affine Gauss-Kronecker curvature.

引用

页码：41 / 47

页数：7

共 11 条

[1]

BERWALD L, 1922, MONATSH MATH PHYS, V32, P89

[2]

Blaschke W., 1923, VORLESUNGEN DIFFEREN, V2

[3] 2 RESULTS IN THE AFFINE HYPERSURFACE THEORY [J].

KUROSE, T .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1989, 41 (03) :539-548

[4]

LI AM, 1989, RESULTS MATH, V13, P308

[5]

MAGID MA, 1990, GEOMETRIAE DEDICATA, V33, P277

[6] ON AFFINE-MAXIMAL RULED SURFACES [J].

MARTINEZ, A ;

MILAN, F .

MATHEMATISCHE ZEITSCHRIFT, 1991, 208 (04) :635-644

[7]

NOMIZU K, 1989, LECTURE NOTES BROWN

[8]

Radon J., 1918, LEIPZIGER BERICHTE, V70, P147

[9]

Simon U., 1991, DIFFER GEOM APPL, V1, P123

[10]

VRANCKEN L, 1990, GEOMETRIAE DEDICATA, V33, P177

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