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A counterexample to a conjecture on flat bilinear forms
Author(s):
Marcos
Dajczer;
Luis
A.
Florit
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3703-3704.
MSC (2000):
Primary 53B25
Posted:
July 22, 2004
MathSciNet review:
2084094
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Abstract:
We provide a counterexample to a conjecture on the dimension of the nullity of a flat symmetric bilinear form.
References:
-
- [1]
- M. do Carmo and M. Dajczer, Conformal Rigidity, Amer. J. Math. 109 (1987), 963-985. MR 0910359 (89e:53016)
- [2]
- E. Cartan, La déformation des hypersurfaces dans l'espace conforme réel a
 dimensions. Bull. Soc. Math. France 45 (1917), 57-121. - [3]
- M. Dajczer and L. A. Florit, Compositions of isometric immersions in higher codimension, Manuscripta Math. 105 (2001), 507-517; Erratum, Manuscripta Math. 110 (2003), 135. MR 1858501 (2002m:53096); MR 1951804 (2003m:53101)
- [4]
- M. Dajczer and R. Tojeiro, A rigidity theorem for conformal immersions, Indiana Univ. Math. J. 46 (1997), 491-504. MR 1481600 (98j:53072)
- [5]
- J. D. Moore, Submanifolds of constant positive curvature I, Duke Math. J. 44 (1977), 449-484. MR 0438256 (55:11174)
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Additional Information:
Marcos
Dajczer
Affiliation:
IMPA, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, Brazil
Email:
marcos@impa.br
Luis
A.
Florit
Affiliation:
IMPA, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, Brazil
Email:
luis@impa.br
DOI:
10.1090/S0002-9939-04-07636-1
PII:
S 0002-9939(04)07636-1
Keywords:
Symmetric flat bilinear form,
nullity
Received by editor(s):
July 1, 2001
Posted:
July 22, 2004
Communicated by:
Wolfgang Ziller
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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