Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 53, Number 3 (2001), 603-631.
Lagrangian submanifolds of the three dimensional complex projective space
Cristina RODRIGUEZ MONTEALEGRE and Luc VRANCKEN
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.
Article information
Source
J. Math. Soc. Japan, Volume 53, Number 3 (2001), 603-631.
Dates
First available in Project Euclid: 9 June 2008
Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1213023726
Digital Object Identifier
doi:10.2969/jmsj/05330603
Mathematical Reviews number (MathSciNet)
MR1828972
Zentralblatt MATH identifier
1009.53056
Subjects
Primary: 53D12: Lagrangian submanifolds; Maslov index 53B25: Local submanifolds [See also 53C40]
Keywords
Lagrangian submanifolds Chen's equality submanifolds of complex space forms
Citation
RODRIGUEZ MONTEALEGRE, Cristina; VRANCKEN, Luc. Lagrangian submanifolds of the three dimensional complex projective space. J. Math. Soc. Japan 53 (2001), no. 3, 603--631. doi:10.2969/jmsj/05330603. https://projecteuclid.org/euclid.jmsj/1213023726
