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Characterizing warped-product Lagrangian immersions in complex projective space

Characterizing warped-product Lagrangian immersions in complex projective space

Abstract Starting from two Lagrangian immersions and a horizontal curve in S 3 (1), it is possible to construct a new Lagrangian immersion, which we call a warped-product Lagrangian immersion. In this paper, we find two characterizations of warped-product Lagrangian immersions. We also investigate Lagrangian submanifolds which attain at every …