2014 Fiscal Year Final Research Report
A study on a generating function of a complex Lagrangian submanifold and its applications
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 |
Section | 一般 |
Research Field |
Geometry
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Research Institution | Meijo University |
Principal Investigator |
EJIRI Norio 名城大学, 理工学部, 教授 (80145656)
|
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)
|
Project Period (FY) |
2010-04-01 – 2015-03-31
|
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 |
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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Free Research Field |
微分幾何学
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