2009 Fiscal Year Final Research Report
Invariants and balancing conditions for singularities of solutions of geometric variational problems
| Project/Area Number |
18540219
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Osaka City University |
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Principal Investigator |
KATO Shin Osaka City University, 大学院・理学研究科, 准教授 (10243354)
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| Co-Investigator(Kenkyū-buntansha) |
IMAYOSHI Yoichi 大阪市立大学, 大学院・理学研究科, 教授 (30091656)
KASUE Atsushi 金沢大学, 理工研究域数物科学系, 教授 (40152657)
HASHIMOTO Yoshitake 東京都市大学, 知識工学部, 教授 (20271182)
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| Project Period (FY) |
2006 – 2009
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| Keywords | 多様体上の解析 |
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| Research Abstract |
We analize the collapse of n-end catenoids of genus O, a significant class of minimal surfaces in the Euclidian 3-space, by means of the relative weights of end-pairs of the surfaces. On the other hand, we generalize the formulation of the existence condition of n-end catenoids in the case of genus O to the case of genus 1.Moreover, we also generalize the formulation to the case of maximal surfaces in the Lorentzian 3-space, and furthermore, analize the correspondence between the symmetry of maximal surfaces and the singular set.
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