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Orbit duality for flag manifolds

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Abstract.

 A geometric proof of Matsuki duality for orbits on real and complex flag mani- folds is given. This is achieved by analyzing the gradient flow of the norm-squared of a moment map.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Ball State University, Muncie, IN 47306-0490, USA e-mail: bremigan@math.bsu.edu; jdlorch@math.bsu.edu, , , , , , US

    Ralph Bremigan & John Lorch

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  1. Ralph Bremigan
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  2. John Lorch
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Received: 19 April 2002 / Revised version: 12 July 2002

Mathematics Subject Classification (2000): Primary 22F30; Secondary 14M15, 22E46, 32M10, 53C55

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Bremigan, R., Lorch, J. Orbit duality for flag manifolds. Manuscripta Math. 109, 233–261 (2002). https://doi.org/10.1007/s00229-002-0312-x

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  • DOI: https://doi.org/10.1007/s00229-002-0312-x

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