Nonvanishing vector fields on orbifolds
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...
متن کاملA Complete Obstruction to the Existence of Nonvanishing Vector Fields on Almost-Complex, Closed Orbifolds
We determine several necessary and sufficient conditions for a closed almost-complex orbifold Q 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 of its twisted sectors, a...
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We determine several necessary and sufficient conditions for a closed almost-complex orbifold Q with cyclic local groups to admit a nonvanishing vector field. These conditions are stated separately in terms of the orbifold Euler-Satake characteristics of Q and its sectors, the Euler characteristics of the underlying topological spaces of Q and its sectors, and in terms of the orbifold Euler cla...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2009
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-09-04938-1