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Codimension reduction in symmetric spaces |
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| Affiliation: | 1. Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy;2. Depto. de Matemática, ECEN, FCEIA, Universidad Nacional de Rosario, Rosario, Argentina;3. CONICET, Argentina |
| Abstract: |  In this paper we give a short geometric proof of a generalization of a well-known result about reduction of codimension for submanifolds of Riemannian symmetric spaces. |
| Keywords: | Codimension reduction Erbacher theorem Parallel first normal space Totally geodesic submanifolds |
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