| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
An open real group orbit in a complex flag manifold is called a flag domain. In this research project, we studied geometric properties of flag domains. One of the main result is about pseudoconcavity of flag domains. We proved that a flag domain is either pseudoconvex or pseudoconcave, which is positive confirmation of Huckleberry's conjecture. The paper on this result has been published in Mathematische Annalen as a co-authored paper with Huckleberry and Latif. Moreover, we studied cycle-connectivity of pseudoconcave flag domains. We determined which pseudoconcave flag domain is one-connected in some particular cases.
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