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Sequences of Maximal Antipodal Sets of Oriented Real Grassmann Manifolds II

  • Hiroyuki TasakiEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 203)

Abstract

Chen–Nagano introduced the notion of antipodal sets of compact Riemannian symmetric spaces. The author showed a correspondence between maximal antipodal sets of oriented real Grassmann manifolds and certain families of subsets of finite sets and reduced the classifications of maximal antipodal sets of oriented real Grassmann manifolds to a certain combinatorial problem in a previous paper. In this paper we construct new sequences of maximal antipodal sets from those obtained in previous papers and estimate the cardinalities of antipodal sets.

Notes

Acknowledgements

The author was partly supported by the Grant-in-Aid for Science Research (C) (No. 15K04835), Japan Society for the Promotion of Science.

References

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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.Division of Mathematics, Faculty of Pure and Applied SciencesUniversity of TsukubaTsukubaJapan

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