Conformal geometry and special holonomy

Details Conformal geometry and special holonomy Conformal geometry and special holonomy

2010-09-25

arxiv.org/abs/1009.5040v1

Mathematics

Differential Geometry

13 pages. Published in Recent Advances in Geometric Analysis, ALM 11 (2007), pp. 195-209

Scientific paper

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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