Vector Fields Orthogonal to a Nonvanishing Infinitesimal Isometry
نویسندگان
چکیده
منابع مشابه
A Complete Obstruction to the Existence of Nonvanishing Vector Fields on Almost-complex, Closed Abelian Orbifolds
We determine several necessary and sufficient conditions for a closed almost-complex orbifold Q with abelian local groups to admit a nonvanishing vector field. These conditions are stated separately in terms of the orbifold Euler-Satake characteristics of Q and the connected components of its twisted sectors, the Euler characteristics of the underlying topological spaces of Q and the components...
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Recall that a vector field X on a smooth manifold M is complete if it generates a global flow ξ : M × R → M . If Xǫ is a smoothly parametrized family of vector fields (ǫ ∈ R), it may happen that X0 is complete but all Xǫ with ǫ 6= 0 are incomplete. This is the case for instance with the family of vector fields ǫ · x · ∂ ∂x on R. We shall prove, however, that in the context of synthetic differen...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1979
ISSN: 0002-9939
DOI: 10.2307/2042766