SOME PROPERTIES OF THE FLAG MANIFOLDS

Authors

  • GR. F. TSAGAS Division of Mathematics, Department of Mathematical and Physics, School of Technology, Uni­ versity of Thessaloniki Thessaloniki, 54006- GREECE.
  • A. J. LEDGER Department of Pure Mathematics, University of Liverpool, P. 0. Box 147, Liverpool LG9 3BX, United Kingdom.

DOI:

https://doi.org/10.5556/j.tkjm.28.1997.4318

Keywords:

Lie algebra, Lie group, Killing-Cartan form, \Sigma-space and flag monifold .

Abstract

The aim of the present paper is to prove that the real, complex and quaternionic flag manifolds are $\Sigma$-space.

References

F. Hirzbruch, Topological methods in algebraic geometry, Springer-Verlag, New York, 1966.

P. J. Graham and A. J. Ledger, "s-Regular manifolds, Differential Geometry in honour of K Yano," Kinokuniya, Tokyo, (1972), 133-144

A. J. Ledger and A. R. Razani, "Reduced $Sigma$-space," Illinois Jour. Math. 26(1982), 272- 299.

A. J. Ledger, Affine and Riemannian $Sigma$-spaces, Seminar on Mathematical Science, No 5, Keio University, 1982.

O. Loos, "Spiegelungraume and homogene symmetrische," Raume Math. Z., 99 (1967), 67-72.

O. Loos, "Reflexion spaces of minimal and maximal torsion," Math. Z., 106 (1968), 67-72.

O. Loos, "An intrinsic characterization of fibre bundles associated with homogeneous spaces defined by Lie group automorphisms," Abhandl. Math. Sem. Univ. Hambu1:q, 37 (1972), 160-179.

Gr. Tsagas, "Special connections on the real flag manifolds," Proc. of the 2rd Congress of Geometry. Thessloniki, 1987, 221-221.

Downloads

Published

1997-09-01

How to Cite

TSAGAS, G. F., & LEDGER, A. J. (1997). SOME PROPERTIES OF THE FLAG MANIFOLDS. Tamkang Journal of Mathematics, 28(3), 211-227. https://doi.org/10.5556/j.tkjm.28.1997.4318

Issue

Section

Papers