On parallel submanifolds of symmetric spaces

2008/09/11 by Jentsch, Tillmann
#53C35 #53C40 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0809.1940

Abstract

Due to its length and several inaccuracies, this article is no longer suggested for reading. Moreover, in the meantime certain results presented herein could be improved by the author in a non-trivial fashion. Instead, the reader is referred to the following two articles: The extrinsic holonomy Lie algebra of a parallel submanifold (arXiv:0904.2611), Extrinsic homogeneity of parallel submanifolds (arXiv:0904.2636).

Related

• Parallel submanifolds of complex projective space and their normal holonomy
• A comprehensive survey on parallel submanifolds in Riemannian and pseudo-Riemannian manifolds
• Almost symmetric submanifolds
• Submanifold geometry in symmetric spaces of noncompact type
• Extrinsically Symmetric Spaces, Submanifolds of Clifford Type and a Theorem of Harish-Chandra