Curvature pinching for totally real submanifolds of a complex projective space

Journal of the Mathematical Society of Japan

Volumn 52, Issue 1, 2000, Pages 51-64

  Matsuyama, Yoshio ^a  

^a CHUO UNIVERSITY   (Japan)

Author keywords

Complex projective space; Minimal submanifold; Parallel second fundamental submanifold; Totally real submanifold

Indexed keywords

EID: 0039686823     PISSN: 00255645     EISSN: 18811167     Source Type: Journal    
DOI: 10.2969/jmsj/05210051     Document Type: Article

References (10)

1. 3 and its characterisation, Proc. Royal Soc. Edinburgh126A(1996), 153-165.
2. n(c), Tohoku Math. J. 41(1989), 249-257.
3. Y.Matsuyama, On some pinchings of minimal submanifolds, Proceedings of the Workshop on Geometry and its applications in Honor of Morio Obata, November 1991, edited by Tadashi Nagano et al., World Scientific, Singapore(1993), 121-134.
4. n(c), J. Ramanuian Math. Soc. 9(1994), 13-24.
5. S.Montiel, A.Ros and F.Urbano, Curvature pinching and eigenvalue rigidity for minimal submanifolds, Math. Z. 191(1986), 537-548.
6. n(C), Tokyo J. Math. 4(1981), 279-306.
7. K.Ogiue, Recent topics of differential geometry, Mathematics: the publication of the Mathematical Society of Japan39(1987), 305-319.
8. B. O’Neill, Isotropic and Kaehler immersions, Can. J. Math. (1965), 907-915.
9. C. Xia, Minimal submanifolds with bounded second fundamental form, Math. Z. 208 (1991), 537-543.
10. N(1), Kodai Math. J. 15 (1992), 143– 153.