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- W1996004817 abstract "For a Lagrangian submanifold M of S 6 with nearly Kaehler structure, we provide conditions for a canonically induced almost contact metric structure on M by a unit vector field, to be Sasakian. Assuming M contact metric, we show that it is Sasakian if and only if the second fundamental form annihilates the Reeb vector field ξ, furthermore, if the Sasakian submanifold M is parallel along ξ, then it is the totally geodesic 3-sphere. We conclude with a condition that reduces the normal canonical almost contact metric structure on M to Sasakian or cosymplectic structure." @default.
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- W1996004817 date "2013-10-12" @default.
- W1996004817 modified "2023-09-27" @default.
- W1996004817 title "Almost Contact Lagrangian Submanifolds of Nearly Kaehler 6-Sphere" @default.
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- W1996004817 doi "https://doi.org/10.1007/s00025-013-0335-5" @default.
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