Sequences of Maximal Antipodal Sets of Oriented Real Grassmann Manifolds
We construct two sequences of antipodal sets of the oriented real Grassmann manifolds in a combinatorial way and a sequence of antipodal sets in a different way. We show that they are maximal antipodal sets under certain conditions.
KeywordsNatural Number Orthonormal Basis Differential Geometry Symmetric Space Disjoint Union
The author would like to thank Atsushi Ishii for useful discussion on the subject of this paper and his showing many examples of maximal antipodal subsets by using his program.
The author was partly supported by the Grant-in-Aid for Science Research (C) 2013 (No. 24540064), Japan Society for the Promotion of Science.
- 2.Tasaki, H.: Antipodal sets in oriented real Grassmann manifolds. Int. J. Math. 24(8), 1350061-1–28 (2013)Google Scholar