We investigate Lagrangian submanifolds of the 3-dimensional complex projective space. In case the second fundamental form takes a special form, we obtain several classification theorems. As a consequence we obtain several new examples of 3-dimensional Lagrangian submanifolds.
Cristina RODRIGUEZ MONTEALEGRE. Luc VRANCKEN. "Lagrangian submanifolds of the three dimensional complex projective space." J. Math. Soc. Japan 53 (3) 603 - 631, July, 2001. https://doi.org/10.2969/jmsj/05330603