Abstract
Line geometry is not as popular these days as it was even fifty years ago. This is perhaps because many of the original problems of the subject have been solved. Algebraic geometers think of ruled surfaces as line bundles over a curve or even more abstract descriptions. Differential geometers usually worry about the extrinsic geometry of ruled surfaces—that is, how such surfaces can sit in three dimensions—their curvature, and so forth. Symplectic geometers have all but forgotten that their subject began with the study of the symmetries of line complexes.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2005 Springer Science+Business Media Inc.
About this chapter
Cite this chapter
(2005). Line Geometry. In: Geometric Fundamentals of Robotics. Monographs in Computer Science. Springer, New York, NY. https://doi.org/10.1007/0-387-27274-7_6
Download citation
DOI: https://doi.org/10.1007/0-387-27274-7_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-20874-9
Online ISBN: 978-0-387-27274-0
eBook Packages: Computer ScienceComputer Science (R0)