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arXiv · 1009.5040

Conformal geometry and special holonomy

Siu-Cheong Lau·Naichung Conan Leung
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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.

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Siu-Cheong Lau, Naichung Conan Leung. 2010-09-25. Conformal geometry and special holonomy. https://arxiv.org/abs/1009.5040

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