Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Constant Mean Curvature Spacelike Hypersurfaces in Spacetimes with Certain Causal Symmetries Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Sequences of Maximal Antipodal Sets of Oriented Real Grassmann Manifolds II

Author : Hiroyuki Tasaki

Published in: Hermitian–Grassmannian Submanifolds

Publisher: Springer Singapore

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Constant Mean Curvature Spacelike Hypersurfaces in Spacetimes with Certain Causal Symmetries
next chapter Derivatives on Real Hypersurfaces of Non-flat Complex Space Forms
Literature
1.
Chen, B.-Y., Nagano, T.: A Riemannian geometric invariant and its applications to a problem of Borel and Serre. Trans. Amer. Math. Soc. 308, 273–297 (1988)MathSciNetCrossRefMATH
2.
3.
Tasaki, H.: Antipodal sets in oriented real Grassmann manifolds, Int. J. Math. 24(8), Article ID: 1350061, 1–28 (2013)
4.
Tasaki, H.: Sequences of maximal antipodal sets of oriented real Grassmann manifolds, In: Suh, Y.J., et al. (eds.) ICM Satellite Conference on “Real and Complex Submanifolds”, Springer Proceedings in Mathematics and Statistics, vol. 106, pp. 515–524 (2014)
5.
Tasaki, H.: Estimates of antipodal sets in oriented real Grassmann manifolds, “Global Analysis and Differential Geometry on Manifolds”. Int. J. Math. 26(5), Article ID: 1541008, 1–12 (2015). (special issue: the Kobayashi memorial volume)
Metadata
Title
Sequences of Maximal Antipodal Sets of Oriented Real Grassmann Manifolds II
Author
Hiroyuki Tasaki
Copyright Year
2017
Publisher
Springer Singapore
Book
Hermitian–Grassmannian Submanifolds

Print ISBN: 978-981-10-5555-3

Electronic ISBN: 978-981-10-5556-0

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-981-10-5556-0_2

Premium Partner

    Image Credits