ANTIPODAL SETS IN ORIENTED REAL GRASSMANN MANIFOLDS

作者：Tasaki Hiroyuki^*

来源：International Journal of Mathematics, 2013, 24(8): 1350061.

DOI：10.1142/S0129167X13500614

• Antipodal set
• oriented real Grassmann manifold
• 2-number
• Riemannian symmetric space

We reduce the problem of classifying all maximal antipodal sets in the oriented real Grassmann manifold (G) over tilde (k)(R-n) 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 (G) over tilde (k)(R-n) for k %26lt;= 4. We construct some maximal antipodal subsets for higher k.

• 出版日期2013-7