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ANTIPODAL SETS IN ORIENTED REAL GRASSMANN MANIFOLDS
Abstract
We reduce the problem of classifying all maximal antipodal sets in the oriented real Grassmann manifold 
to that of classifying all maximal subsets satisfying certain conditions in the set consisting of subsets of cardinality k in {1, …, n}. Using this reduction we classify all maximal antipodal sets in 
for k ≤ 4. We construct some maximal antipodal subsets for higher k.
AMSC: 53C35
References
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Published: 20 August 2013
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