The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

On the geometry of the Gauss map of conformal foliations by lines

På svenska

Author

Summary, in English

Let F be an oriented conformal foliation of connected, totally geodesic and 1-dimensional leaves in Rn+1. We prove that if n greater than or equal to 3 then the Gauss map phi: U --> S-n of F is a non-constant n-harmonic morphism if and only if it is a radial projection.

Department/s

Publishing year

2004

Language

English

Pages

247-255

Publication/Series

Mathematical Proceedings of the Cambridge Philosophical Society

Volume

136

Document type

Journal article

Publisher

Cambridge University Press

Topic

  • Geometry

Status

Published

Research group

  • Differential Geometry

ISBN/ISSN/Other

  • ISSN: 1469-8064