On parallel submanifolds of symmetric spaces

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This paper discusses properties of parallel submanifolds within symmetric spaces but is outdated and has inaccuracies, with more recent and improved results available in subsequent publications.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The article initially aimed to analyze parallel submanifolds of symmetric spaces but has been superseded by more accurate and comprehensive later works.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Results are outdated and inaccurate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Original findings are superseded by newer results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).