Obstruction formulas and almost-complex manifolds
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- by Robert D. Little PDF
- Proc. Amer. Math. Soc. 50 (1975), 459-462 Request permission
Abstract:
This paper contains three theorems about almost-complex manifolds. The first theorem states that, under certain conditions, the Euler characteristic of an almost-complex manifold ${M^{2n}}$ must be divisible by $(n - 1)!$. This theorem implies that if ${M^{2n}}$ is an almost-complex homology sphere, then $n \leq 3$. The next two theorems concern the maximal number of vector fields of an almost-complex manifold which are linearly independent over the complex numbers.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 50 (1975), 459-462
- MSC: Primary 57D25; Secondary 53C15
- DOI: https://doi.org/10.1090/S0002-9939-1975-0391116-2
- MathSciNet review: 0391116