Cones for the Moulton planes

被引：1

作者：

Gerlich, Gerhard ^{[1
]}

机构：

[1] Tech Univ Carolo Wilhelmina Braunschweig, Inst Geometrie Algebra & Diskrete Math, Pockelsstr 14, D-38106 Braunschweig, Germany

来源：

JOURNAL OF GEOMETRY | 2008年 / 88卷 / 1-2期

关键词：

Moulton plane; cone; affine connection; geodesic mapping;

D O I：

10.1007/s00022-007-1931-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a two-parameter family of affinely connected surfaces which admit the cylinder group as a collineation group of their geodesics. The Moulton Planes in the radial model of Betten, the circular cone, as well as the real affine plane, are part of this family. The Moulton Planes occur in this family in the same way as the real affine plane is contained in a family of cones with decreasing steepness.

引用

页码：30 / 40

页数：11

共 9 条

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