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The Fixed Point Set of a Holomorphic Isometry and the Intersection of Two Real Forms in the Complex Grassmann Manifold

  • Osamu Ikawa
  • Makiko Sumi Tanaka
  • Hiroyuki Tasaki
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 106)

Abstract

We study the fixed point set of a holomorphic isometry of the complex Grassmann manifold and the intersection of two real forms which are congruent to the real Grassmann manifold. Furthermore, we investigate the relation between them.

Keywords

Real Form Identity Component Grassmann Manifold Hermitian Symmetric Space Riemannian Symmetric Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

The first author was partly supported by the Grant-in-Aid for Science Research (C) 2013 (No. 25400070), Japan Society for the Promotion of Science. The second author was partly supported by the Grant-in-Aid for Science Research (C) 2013 (No. 23540108), Japan Society for the Promotion of Science. The third author was partly supported by the Grant-in-Aid for Science Research (C) 2013 (No. 24540064), Japan Society for the Promotion of Science.

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Copyright information

© Springer Japan 2014

Authors and Affiliations

  • Osamu Ikawa
    • 1
  • Makiko Sumi Tanaka
    • 2
  • Hiroyuki Tasaki
    • 3
  1. 1.Faculty of Arts and Sciences, Department of Mathematics and Physical SciencesKyoto Institute of TechnologySakyoku, KyotoJapan
  2. 2.Faculty of Science and Technology, Department of MathematicsTokyo University of ScienceNodaJapan
  3. 3.Faculty of Pure and Applied Sciences, Division of MathematicsUniversity of TsukubaTsukuba, IbarakiJapan

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