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Low codimensional submanifolds of Euclidean space with nonnegative isotropic curvature
Author(s):
Francesco
Mercuri;
Maria
Helena
Noronha
Journal:
Trans. Amer. Math. Soc.
348
(1996),
2711-2724.
MSC (1991):
Primary 53C40, 53C42
MathSciNet review:
1348153
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Abstract:
In this paper we study compact submanifolds of Euclidean space with nonnegative isotropic curvature and low codimension. We determine their homology completely in the case of hypersurfaces and for some low codimensional conformally flat immersions.
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Additional Information:
Francesco
Mercuri
Affiliation:
IMECC-UNICAMP, Universidade Estadual de Campinas, 13081-970, Campinas, SP, Brasil
Email:
mercuri@ime.unicamp.br
Maria
Helena
Noronha
Affiliation:
Department of Mathematics, California State University Northridge, California 91330-8183
Email:
mnoronha@huey.csun.edu
DOI:
10.1090/S0002-9947-96-01589-9
PII:
S 0002-9947(96)01589-9
Keywords:
Isotropic curvature,
Betti numbers,
hypersurfaces,
conformally flat manifolds
Received by editor(s):
March 24, 1995
Additional Notes:
The first author's research was partially supported by CNPq, Brasil.
Copyright of article:
Copyright
1996,
American Mathematical Society
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