2009 Fiscal Year Final Research Report
Study of CR-Weyl structures
| Project/Area Number |
19540064
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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 | Saitama University |
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Principal Investigator |
SAKAMOTO Kunio Saitama University, 大学院・理工学研究科, 教授 (70089829)
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| Co-Investigator(Kenkyū-buntansha) |
MIZUTANI Tadayoshi 埼玉大学, 大学院・理工学研究科, 教授 (20080492)
NAGASE Masayoshi 埼玉大学, 大学院・理工学研究科, 教授 (30175509)
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| Co-Investigator(Renkei-kenkyūsha) |
FUKUI Toshizumi 埼玉大学, 大学院・理工学研究科, 教授 (90218892)
SAKAI Fumio 埼玉大学, 大学院・理工学研究科, 教授 (40036596)
EGASHIRA Shinji 埼玉大学, 大学院・理工学研究科, 助教 (00261876)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 微分幾何 / CR多様体 / CR-Weyl接続 / 実超曲面 / 田中-Webster接続 |
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| Research Abstract |
The first result is a proposition about the relation between the Levi-Civita and Tanaka-Webster connections of a real hypersurface in a complex space form. The difference is represented by the second fundamental tensor of the hypersurface. The second result is that, for a given line bundle transversal to the hyperdistribution on a CR manifold, the unique CR-Weyl connection is determined under some curvature conditions. The application to hypersurfaces is in studying.
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