منابع مشابه
Closed 1-forms with at Most One Zero
We prove that in any nonzero cohomology class ξ ∈ H(M ;R) there always exists a closed 1-form having at most one zero. 1. Statement of the result Let M be a closed connected smooth manifold. By Hopf’s theorem, there exists a nowhere zero tangent vector field on M if and only if χ(M) = 0. If χ(M) 6= 0 one may find a tangent vector field on M vanishing at a single point p ∈ M . A Riemannian metri...
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We give simple necessary and sufficient conditions for the existence of a zero-one matrix with given row and column sums and at most one structural zero in each row and column. © 2006 Elsevier B.V. All rights reserved.
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ژورنال
عنوان ژورنال: Topology
سال: 2006
ISSN: 0040-9383
DOI: 10.1016/j.top.2005.06.006