Degrees of Maps between complex Grassmann Manifolds
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TextPublication details: 2010Description: 44pSubject(s): Mathematics | Complex Grassmann Manifolds | HBNI Th 16Online resources: Click here to access online Dissertation note: 2010Ph.D Abstract: Let f:Gn,k --> Gm,l be any continuous map between to distinct complex ( resp. quaternionic )Grassmann manifolds of the same dimension. It is shown that the degree of f is zero provided n, m are sufficiently large and l > or = 2. If the degree of f is + or - 1, it is shown that(m,l) + (n,k) and f is a homotopy equivalence. Also it is proved that the image under f* of elements of a set of algebra generators of H*(Gm,l ; Q)is determined upto a sign, + or -, if the degree of f is non-zero.
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2010
Ph.D
Let f:Gn,k --> Gm,l be any continuous map between to distinct complex ( resp. quaternionic )Grassmann manifolds of the same dimension. It is shown that the degree of f is zero provided n, m are sufficiently large and l > or = 2. If the degree of f is + or - 1, it is shown that(m,l) + (n,k) and f is a homotopy equivalence. Also it is proved that the image under f* of elements of a set of algebra generators of H*(Gm,l ; Q)is determined upto a sign, + or -, if the degree of f is non-zero.
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