Conformal geometry and special holonomy
Differential Geometry
2010-09-28 v1
Abstract
A theorem of Lawson and Simons states that the only stable minimal submanifolds in complex projective spaces are complex submanifolds. We generalize their result to the cases of quaternionic and octonionic projective spaces. Our approach gives a unified viewpoint towards conformal and projective geometries.
Cite
@article{arxiv.1009.5040,
title = {Conformal geometry and special holonomy},
author = {Siu-Cheong Lau and Naichung Conan Leung},
journal= {arXiv preprint arXiv:1009.5040},
year = {2010}
}
Comments
13 pages. Published in Recent Advances in Geometric Analysis, ALM 11 (2007), pp. 195-209