On parallel submanifolds of symmetric spaces
Tillmann Jentsch

TL;DR
This paper discusses properties of parallel submanifolds within symmetric spaces but is outdated and has inaccuracies, with more recent and improved results available in subsequent publications.
Contribution
The article initially aimed to analyze parallel submanifolds of symmetric spaces but has been superseded by more accurate and comprehensive later works.
Findings
Results are outdated and inaccurate
References to improved subsequent research
Original findings are superseded by newer results
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).
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometric Analysis and Curvature Flows · Geometry and complex manifolds
