Commuting vector fields on 2-manifolds
نویسندگان
چکیده
منابع مشابه
Vector Fields on Manifolds
where n = dim M and 6» = ith Betti number of M ( = dim of Hi(M; Q)). Thus the geometric property of M having a nonzero vector field is expressed in terms of the algebraic invariant xM. We will discuss extensions of this idea to vector ^-fields, fields of ^-planes, and foliations of manifolds. All manifolds considered will be connected, smooth and without boundary; all maps will be continuous. F...
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Let M be an open orientable differentiate n-manifold. More precisely, we will take M and vectorfields over M to be of class C. A nonzero vectorfield X on i f will be called nonrecurrent if the 1-dimensional foliation associated with X is regular (see [4, Chapter I]) and admits no compact leaves. The notation H(M; Z)=Q shall mean that the ^-dimensional singular integral cohomology of M is trivia...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1963
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1963-10925-8