| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
RCD spaces are one of the generalization of Riemannian manifolds with lower Ricci bound and upper dimension bound. These spaces are known to be worth studying in order to understanding the geometry of Riemannian manifolds. However it is difficult to analyze such spaces because of the complexity of local structure in those. In our study, we classify the low dimensional RCD spaces. And we define the subclass of RCD spaces that can be treated easier than generic ones. Also, we prove the high dimensional regular sets exist plentifully.
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