Totally Geodesic Submanifolds in Compact Symmetric Spaces of Rank Two

Totally Geodesic Submanifolds in Compact Symmetric Spaces of Rank Two

Taro KIMURA and Makiko Sumi TANAKA

Source: Tokyo J. of Math. Volume 31, Number 2 (2008), 421-447.

Abstract

In 1978 B. Y. Chen and T. Nagano obtained the local classification of the maximal totally geodesic submanifolds in compact connected irreducible symmetric spaces of rank two. In this paper, we investigate their global classification.

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.tjm/1233844062
Digital Object Identifier: doi:10.3836/tjm/1233844062
Mathematical Reviews number (MathSciNet): MR2477882
Zentralblatt MATH identifier: 05545422

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