| Budget Amount *help |
¥41,470,000 (Direct Cost: ¥31,900,000、Indirect Cost: ¥9,570,000)
Fiscal Year 2017: ¥8,060,000 (Direct Cost: ¥6,200,000、Indirect Cost: ¥1,860,000)
Fiscal Year 2016: ¥8,060,000 (Direct Cost: ¥6,200,000、Indirect Cost: ¥1,860,000)
Fiscal Year 2015: ¥8,060,000 (Direct Cost: ¥6,200,000、Indirect Cost: ¥1,860,000)
Fiscal Year 2014: ¥8,060,000 (Direct Cost: ¥6,200,000、Indirect Cost: ¥1,860,000)
Fiscal Year 2013: ¥9,230,000 (Direct Cost: ¥7,100,000、Indirect Cost: ¥2,130,000)
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| Outline of Final Research Achievements |
Geometric objects are curved spaces. I studied time-dependent deformations of such curved spaces satisfying differential equations. Usually singularities occur in finite time, and if we rescale the neighborhood of the singularities we arrive at the notion of self-similar solutions. During the research period of this fund I found the lower diameter bound of closed self-similar solution spaces, clarified the mechanism of the appearance of self-similar solutions on cone manifolds, and observed some properties of the limits of sequences of self-similar solutions.
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