Open Access
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.

Citation

Download Citation

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

Information

Published: July, 2001
First available in Project Euclid: 9 June 2008

zbMATH: 1009.53056
MathSciNet: MR1828972
Digital Object Identifier: 10.2969/jmsj/05330603

Subjects:
Primary: 53B25 , 53D12

Keywords: Chen's equality , Lagrangian submanifolds , submanifolds of complex space forms

Rights: Copyright © 2001 Mathematical Society of Japan

Vol.53 • No. 3 • July, 2001
Back to Top