Skip to main content
SpringerLink
Log in

Cones for the Moulton planes

  • Published:
Journal of Geometry Aims and scope Submit manuscript

Abstract.

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Institut für Geometrie, Algebra und diskrete Mathematik, Technische Universität Braunschweig, Pockelsstr. 14, 38106, Braunschweig, Germany

    Gerhard Gerlich

Authors
  1. Gerhard Gerlich
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Gerhard Gerlich.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gerlich, G. Cones for the Moulton planes. J. geom. 88, 30–40 (2008). https://doi.org/10.1007/s00022-007-1931-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00022-007-1931-x

Mathematics Subject Classification (2000):

Key words:

Search

Navigation