Lagrangian submanifolds of the three dimensional complex projective space

Cristina RODRIGUEZ MONTEALEGRE; Luc VRANCKEN

doi:10.2969/jmsj/05330603

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July, 2001 Lagrangian submanifolds of the three dimensional complex projective space

Cristina RODRIGUEZ MONTEALEGRE, Luc VRANCKEN

J. Math. Soc. Japan 53(3): 603-631 (July, 2001). DOI: 10.2969/jmsj/05330603

Abstract

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.

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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