| Project/Area Number |
22540232
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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 大阪市立大学, 大学院理学研究科, 准教授 (10243354)
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| Co-Investigator(Kenkyū-buntansha) |
TAKAHASHI Futoshi 大阪市立大学, 大学院理学研究科, 教授 (10374901)
KOMORI Yohei 早稲田大学, 教育学部, 教授 (70264794)
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| Co-Investigator(Renkei-kenkyūsha) |
KASUE Atsushi 金沢大学, 理工学研究域数物科学系, 教授 (40152657)
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| Project Period (FY) |
2010-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 多様体上の解析 / 極小曲面 |
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| Outline of Final Research Achievements |
We formulated the condition for the existence of n-noids of genus 1 in the Euclidian 3-space whose complete system of representatives of poles of Gauss map and that of ends coincide with each other. Moreover, we constructed new examples of such n-noids. We also decided the indices and nullities of n-noids of genes 0 under the condition that n is 4, or n is greater than 4 and the n-noid is symmetric in a sense. Moreover, we got a result on the relation between flux and nullity of n-noids. We also constructed a 1-parameter family of n-noids defined on punctured projective planes under the condition that n is an even number greater than or equal to 4, and that all of the ends of the surface is catenoidal type. It should be remarked here that only known examples of n-noids defined on punctured projective planes have odd number of planer ends.
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