Harmonic maps in unfashionable geometries

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We describe some general constructions on a real smooth projective 4-quadric which provide analogues of the Willmore functional and conformal Gauss map in both Lie sphere and projective differential geometry. Extrema of these functionals are characterized by harmonicity of this Gauss map.
plain TeX, uses bbmsl for blackboard bold, 20 pages

Keywords

Differential Geometry, 53C43 (primary), 58E20 53A20 53A40 (secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/120053

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103162
 http://arxiv.org/abs/math/0103162
 manuscripta math. 108 (2002) 171-189
 doi:10.1007/s002290200269

Collections

arXiv