Totally geodesic submanifolds of maximal rank in symmetric spaces

Author:

IKAWA Osamu1,TASAKI Hiroyuki2

Affiliation:

1. DEPARTMENT OF GENERAL EDUCATION FUKUSHIMA NATIONAL COLLEGE OF TECHNOLOGY IWAKI

2. INSTITUTE OF MATHEMATICS UNIVERSITY OF TSUKUBA TSUKUBA

Publisher

Mathematical Society of Japan (JST)

Subject

General Mathematics

Reference13 articles.

1. [1] A. Borel and J. De Siebenthal, Les sous-groupes fermés de rang maximum des groupes de Lie clos, Comment. Math. Helv., 23 (1949), 200-221.

2. [2] N. Bourbaki, Groupes et algebres de Lie, Hermann, Paris, 1975.

3. [3] B. Y. Chen and T. Nagano, Totally geodesic submanifolds of symmetric spaces, II, Duke Math. J., 45 (1978), 405-425.

4. [4] E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Mat. Sb., 30 (1952), 349-462=Amer. Math. Soc. Translations, Ser. 2, 6 (1960), 111-244.

5. [5] M. Goto and F.D. Grosshans, Semisimple Lie algebras, Marcel Dekker, New York, 1978.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Totally geodesic submanifolds in exceptional symmetric spaces;Advances in Mathematics;2023-04

2. The index of compact simple Lie groups;Bulletin of the London Mathematical Society;2017-08-21

3. On Invariant Submanifolds in Generalized Sasakian Space Forms;Journal of Dynamical Systems and Geometric Theories;2010-11

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