Ruled lagrangian submanifolds in complex euclidean 3-space

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Title
Ruled lagrangian submanifolds in complex euclidean 3-space
Creator
Cho Jong Taek
Source Title
島根大学総合理工学部紀要. シリーズB
Volume 44
Start Page 17
End Page 26
Journal Identifire
ISSN 13427121
Descriptions
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.
Subjects
Lagrangian submanifolds ( Other)
Ricci tensor ( Other)
scalar curvature ( Other)
complex Euclidean space ( Other)
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学総合理工学部
Date of Issued 2011-03
Publish Type Version of Record
Access Rights open access
Relation
[NCID] AA11157123