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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Euclidean conformally flat submanifolds in codimension two obtained as intersections

Author(s): Marcos Dajczer; Luis Florit
Journal: Proc. Amer. Math. Soc. 127 (1999), 265-269.
MSC (1991): Primary 53B25; Secondary 53C25
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Abstract: We characterize a large family of codimension two euclidean conformally flat submanifolds in the class of isometrically rigid ones and construct explicit examples.


References:

[DF]
M. Dajczer, M. and L. Florit, On conformally flat submanifolds. Comm. Anal. Geom. 4 (1996), 261-284. MR 97c:53096
[DFT]
M. Dajczer, L. Florit and R. Tojeiro, On deformable hypersurfaces in space forms. To appear in Ann. Mat. Pura Appl.


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Additional Information:

Marcos Dajczer
Affiliation: IMPA Est. Dona Castorina 110 22460--320, Rio de Janeiro, Brazil
Email: marcos@impa.br

Luis Florit
Affiliation: IMPA Est. Dona Castorina 110 22460--320, Rio de Janeiro, Brazil
Email: luis@impa.br

DOI: 10.1090/S0002-9939-99-04486-X
PII: S 0002-9939(99)04486-X
Keywords: Conformally flat submanifolds in codimension two
Received by editor(s): January 26, 1996
Received by editor(s) in revised form: April 30, 1997
Communicated by: Christopher Croke
Copyright of article: Copyright 1999, American Mathematical Society


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