| Project/Area Number |
25400126
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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 |
Basic analysis
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| Research Institution | Ibaraki University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
NISHIO MASAHARU 大阪市立大学, 理学研究科, 准教授 (90228156)
HORIUCHI TOSHIO 茨城大学, 理学部, 教授 (80157057)
ANDO HIROSHI 茨城大学, 理学部, 准教授 (60292471)
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| Co-Investigator(Renkei-kenkyūsha) |
SUZUKI NORIAKI 名城大学, 理工学部, 教授 (50154563)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | Appell変換 / Bateman変換 / caloric morphism / 熱方程式の解を保つ変換 / 波動方程式の解を保つ変換 |
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| Outline of Final Research Achievements |
In this research, we studied the caloric morphism on semi-riemannian manifolds, especially semi-euclidean spaces with general Lorentz invariant indefinite metric. We determined the set of mappings and transformations, and also their explicit forms in the case that the dimension of the manifold is greater or equal to 3 and the reciprocal of the dilatation of the transformation has degree 0 or 2.
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