Enlarging totally geodesic submanifolds of symmetric spaces to minimal submanifolds of one dimension higher
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- by Claudio Gorodski PDF
- Proc. Amer. Math. Soc. 132 (2004), 2441-2447 Request permission
Abstract:
We show that a totally geodesic submanifold of a symmetric space satisfying certain conditions admits an extension to a minimal submanifold of dimension one higher, and we apply this result to construct new examples of complete embedded minimal submanifolds in simply connected noncompact globally symmetric spaces.References
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Additional Information
- Claudio Gorodski
- Affiliation: Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão, 1010, São Paulo, SP 05508-090, Brazil
- Email: gorodski@ime.usp.br
- Received by editor(s): March 10, 2003
- Received by editor(s) in revised form: May 13, 2003
- Published electronically: March 25, 2004
- Additional Notes: Partially supported by CNPq.
- Communicated by: Richard A. Wentworth
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2441-2447
- MSC (2000): Primary 53C42; Secondary 53C35
- DOI: https://doi.org/10.1090/S0002-9939-04-07349-6
- MathSciNet review: 2052423