| Project/Area Number |
22540103
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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 |
Geometry
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| Research Institution | Meijo University |
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Principal Investigator |
EJIRI Norio 名城大学, 理工学部, 教授 (80145656)
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| Co-Investigator(Renkei-kenkyūsha) |
OZAWA Tetuya 名城大学, 理工学部, 教授 (20169288)
HASHIMOTO Hideya 名城大学, 理工学部, 教授 (60218419)
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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 |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2014: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2013: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2012: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 複素ラグランジュ錐の生成関数 / 平坦トーラスの極小曲面 / 極小曲面の変形空間 / ヤコビ作用素 / index and nullity / null submanifold / horizontal submanifold / ruled submanifold / 複素ラグランジュ錐 / 生成関数 / ３重周期的極小曲面 / モース指数 / 種数３の超楕円面 / 種数４の超楕円面 / ２重周期的極小曲面 / 極小曲面 / 平坦トーラス / Jacobi operator / Schwarz' P 曲面 / Gyroid / Schwarz' P 曲面 / Schwarz'P曲面 / P曲面 / CMC安定 |
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| Outline of Final Research Achievements |
We study a generating function of complex Lagrangian submanifold and get the relation with other submanifolds. In particular, by the relation between a generating function of a complex Lagrangian cone and a special pseudo kaehler structure, we obtain an algorithm to compute the index and the nullity of a compact, orientable, minimal surface in a torus by the periods of Abelian differentials of the first kind and the second kind. Concretely, we can seek the index and the nullity of Schwarz' P family, D family and H family.
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