Maps into complex space
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- by Howard Jacobowitz PDF
- Proc. Amer. Math. Soc. 134 (2006), 893-895 Request permission
Abstract:
If the dimension of $M$ is denoted by $2k-1$ or $2k$, then a generic map $F:M\to C^k$ satisfies $dF_1\wedge \ldots \wedge dF_k \neq 0$, while in certain cases there is no map $F: M\to C^{k+1}$ that satisfies $dF_1\wedge \ldots \wedge dF_{k+1} \neq 0$.References
- Y. Eliashberg and N. Mishachev, Introduction to the $h$-principle, Graduate Studies in Mathematics, vol. 48, American Mathematical Society, Providence, RI, 2002. MR 1909245, DOI 10.1090/gsm/048
- John W. Milnor and James D. Stasheff, Characteristic classes, Annals of Mathematics Studies, No. 76, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1974. MR 0440554, DOI 10.1515/9781400881826
Additional Information
- Howard Jacobowitz
- Affiliation: Department of Mathematical Sciences, Rutgers University, Camden, New Jersey 08102
- MR Author ID: 190037
- Email: jacobowi@camden.rutgers.edu
- Received by editor(s): September 22, 2004
- Published electronically: July 8, 2005
- Communicated by: Jozef Dodziuk
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 893-895
- MSC (2000): Primary 58A99; Secondary 58J10
- DOI: https://doi.org/10.1090/S0002-9939-05-08056-1
- MathSciNet review: 2180907