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Enlarging totally geodesic submanifolds of symmetric spaces to minimal submanifolds of one dimension higher
Author(s):
Claudio
Gorodski
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2441-2447.
MSC (2000):
Primary 53C42;
Secondary 53C35
Posted:
March 25, 2004
MathSciNet review:
2052423
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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.
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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
DOI:
10.1090/S0002-9939-04-07349-6
PII:
S 0002-9939(04)07349-6
Received by editor(s):
March 10, 2003
Received by editor(s) in revised form:
May 13, 2003
Posted:
March 25, 2004
Additional Notes:
Partially supported by CNPq.
Communicated by:
Richard A. Wentworth
Copyright of article:
Copyright
2004,
American Mathematical Society
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