Year: 2010
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Lau, Siu-Cheong, Leung, Naichung Conan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Hong Kong Government
OpenAlex ID: W1491476125