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We show that if ruled Lagrangian submanifold M^3 in 3-dimensional complex Euclidean space is Einstein, then it is flat, provided that the map which gives direction of each ruling has constant rank. Also we give explicit construction of flat ruled Lagrangian submanifolds M^3 in C^3, from some horizontal curves in S^5, such that M^3 is neither totally geodesic nor Riemannian product Σ×R.
収録刊行物
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- 島根大学総合理工学部紀要. シリーズB
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島根大学総合理工学部紀要. シリーズB 44 17-26, 2011-03
島根大学総合理工学部
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詳細情報 詳細情報について
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- CRID
- 1050564289096204416
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- NII論文ID
- 110008138795
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- NII書誌ID
- AA11157123
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- ISSN
- 13427121
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- NDL書誌ID
- 11053527
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- IRDB
- NDL
- CiNii Articles