Affiliation:
1. Department of Mathematics , Anna University , Chennai , 600025 , India
Abstract
Abstract
We prove that the topological complexity of a quaternionic flag manifold is half of its real dimension. For the real oriented Grassmann manifolds G͠
n,k
, 3 ≤ k ≤ [n/2], the zero-divisor cup-length of the rational cohomology of G͠
n,k
is computed in terms of n and k which gives a lower bound for the topological complexity of G͠
n,k
, TC(G͠
n,k
). When k = 3, it is observed in certain cases that better lower bounds for TC(G͠
n,3) are obtained using ℤ2-cohomology.
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