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
2011-03 発行

Ruled lagrangian submanifolds in complex euclidean 3-space

Cho Jong Taek
木村 真琴
ファイル
内容記述(抄録等)
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.