Lagrangian Spheres in the Complex Euclidean Space Satisfying a Geometric Equality

Geometriae Dedicata

Volumn 70, Issue 2, 1998, Pages 197-208

  Castro, Ildefonso ^a  

^a UNIVERSITY OF JAÉN   (Spain)

Author keywords

Immersions of spheres; Lagrangian submanifolds; Scalar curvature

Indexed keywords

EID: 0007510197     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004959903681     Document Type: Article

References (7)

1. Borrelli, V., Chen, B.-Y. and Morvan, J.M.: Une caracterisation geometrique de la sphere de Whitney. C.R. Acad. Sci., Paris, Ser. I 321 (1995), 1485-1490.
2. Castro, I. and Urbano, F.: Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form. Tôhoku Math. J. 45 (1993), 565-582.
3. Chen, B.-Y.: Complex extensors and Lagrangian submanifolds in complex Euclidean spaces. Tôhoku Math. J. 49 (1997), 277-297.
4. Ejiri, N.: Totally real minimal immersions of n-dimensional real space forms into n-dimensional complex space forms. Proc. Amer. Math. Soc. 84 (1982), 243-246.
5. n with conformal Maslov form and the Whitney sphere. To appear in J. Math. Soc. Japan, 50.
6. Tashiro, Y.: Complete Riemannian manifolds and some vector fields. Trans. Amer. Math. Soc. 117 (1965), 251-275.
7. Yau, S.T.: Submanifolds with constant mean curvature I. Amer. J. Math. 96 (1974), 346-366.