Classification of Lagrangian surfaces of constant curvature in complex projective plane

Journal of Geometry and Physics

Volumn 53, Issue 4, 2005, Pages 428-460

  Chen, Bang Yen ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Lagrangian surface; Legendre curve; Special Legendre curve; Surface of constant curvature

Indexed keywords

EID: 14644431835     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomphys.2004.07.009     Document Type: Article

References (15)

1. B.Y. Chen Geometry of Submanifolds 1973 Marcel Dekker New York
2. B.Y. Chen Representation of flat Lagrangian H-umbilical submanifolds in complex Euclidean spaces Tohoku Math. J. 51 1999 13-20
3. B.Y. Chen Lagrangian surfaces of constant curvature in complex Euclidean plane Tohoku Math. J. 56 2004 289-298
4. B.Y. Chen, Maslovian Lagrangian surfaces of constant curvature in complex projective or complex hyperbolic planes, to appear.
5. 3and its characterization Proc. Roy. Soc. Edinburgh Sec. A 126 1996 153-165
6. n(4c) Math. Proc. Cambridge Philos. Soc. 124 1998 107-125
7. B.Y. Chen O.J. Garay Maslovian Lagrangian isometric immersions of real space forms into complex space forms Jpn. J. Math. 30 2004 2
8. B.Y. Chen K. Ogiue On totally real submanifolds Trans. Am. Math. Soc. 193 1974 257-266
9. B.Y. Chen L. Vrancken Lagrangian minimal isometric immersions of a Lorentzian real space form into a Lorentzian complex space form Tohoku Math. J. 54 2002 121-143
10. R. Courant, D. Hilbert, Methods of Mathematical Physics, Wiley-Interscience, New York-London 1962
11. N. Ejiri Totally real minimal immersions of n-dimensional totally real space forms into n-dimensional complex space forms Proc. Am. Math. Soc. 84 1982 243-246
12. M. Kriele L. Vrancken Minimal Lagrangian submanifolds of Lorentzian complex space forms with constant sectional curvature Arch. Math. 72 1999 223-232
13. M. Kriele L. Vrancken Lorentzian affine hyperspheres with constant sectional curvature Trans. Am. Math. Soc. 352 2000 1581-1599
14. H. Reckziegel, Horizontal lifts of isometric immersions into the bundle space of a pseudo-Riemannian submersion, Global Differiantial Geometric and Global Analysis (1984), Lecture Notes Math. 12 (1985) 264-279.
15. L. Vrancken Minimal Lagrangian submanifolds with constant sectional curvature in indefinite complex space forms Proc. Am. Math. Soc. 130 2002 1459-1466