a variational problem with respect to conformal maps and a variational problem for pullbacks of metrics
| Project/Area Number |
24540213
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Yamaguchi University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
NAITOH Hiroo 山口大学, 大学院理工学研究科, 教授 (10127772)
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| Co-Investigator(Renkei-kenkyūsha) |
KAWAI Shigeo 佐賀大学, 文化教育学部, 教授 (30186043)
TAKAKUWA Shoichiro 首都大学東京, 大学院理工学研究科, 教授 (10183435)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 変分問題 / 共形写像 / 等角写像 / pullback / symphonic map / C-stationary map |
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| Outline of Final Research Achievements |
We give original researches on the following two maps: (1) stationary maps (we call them C-stationary maps) of the integral of the norm of a tensor which is a scale of the conformality of smooth maps between Riemannian manifolds, (2) stationary maps (we call them symphonic maps) of the integral of the norm of the pullback of metrics by smooth maps between Riemannian manifolds. We obtain results of regularity, a construction (we call it a symphonic join) and stability for symphonic maps. For C-stationary maps, we have partial results of stability, though it is considerably difficult to handle C-stationary maps.
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Report
(4 results)
Research Products
(6 results)
