2014 Fiscal Year Final Research Report
Studies on weakly pseudoconvex domains and hypersurfaces in Kahler manifolds
| Project/Area Number |
24540188
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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 | Tokyo University of Science |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Keywords | 多変数関数論 / レビ形式 / 擬凸領域 / 多重劣調和関数 / レビ平坦曲面 / 曲率 |
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| Outline of Final Research Achievements |
(1) For a complex or real hypersurface S in the 2-dimensional complex projective space P_2, we gave explicit formulas of the Levi form of the distance function d to S decided by Funini-Study metric. As its application, we also give the relations the constant 'a' with the function -(d to the a-th power) to be strictly plurisubharmonic and the curvature of S. In particular, we cannot choose the constant a=1/2.
(2) For a real hypersurface in the n-dimensional complex Euclidean space C_n, we give a new explicit formula of the Levi form of the distance function to S.
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| Free Research Field |
数学（多変数関数論）
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