On Parallelizability and Span of the Dold Manifolds
نویسنده
چکیده
The Dold manifold P (m,n) is obtained from the product Sm × CPn of the m-dimensional sphere and n-dimensional complex projective space by identifying (x, [z1, . . . , zn+1]) with (−x, [z̄1, . . . , z̄n+1]), where z̄ denotes the complex conjugate of z. We answer the parallelizability question for the Dold manifolds P (m,n) and, by completing an earlier (2008) result due to Peter Novotný, we solve the vector field problem for the manifolds P (m, 1).
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تاریخ انتشار 2013