An exotic totally real minimal immersion of S3 in ℂP3 and its characterisation

Royal Society of Edinburgh - Proceedings A

Volumn 126, Issue 1, 1996, Pages 153-165

  Chen, B Y ^a   Dillen, F ^b,c   Verstraelen, L ^b   Vrancken, L ^b,c  

^a MICHIGAN STATE UNIVERSITY   (United States)

^b UNIVERSITY OF LEUVEN   (Belgium)

^c FUND FOR SCIENTIFIC RESEARCH   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344453474     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500030651     Document Type: Article

References (12)

1. C. Baikoussis and D. E. Blair. On the geometry of the 7-sphere. Resultate Math. 27 (1995), 5-16.
2. D. E. Blair. Contact Manifolds in Riemannian Geometry, Lecture Notes in Mathematics 509 (Berlin: Springer, 1976).
3. D. E. Blair, F. Dillen, L. Verstraelen and L. Vrancken. Calabi curves as holomorphic Legendre curves and Chen's inequality. Kyungpook Math. J. 35 (1995) (to appear).
4. n. Math. Ann. 279 (1988), 599-620.
5. B.-Y. Chen. Some pinching and classification theorems for minimal submanifolds. Arch. Math. 60 (1993), 568-78.
6. 6(1) by their sectional curvatures. Tohoku Math. J. 47 (1995), 185-98.
7. n satisfying a basic equality. Arch. Math. 63 (1994), 553-64.
8. B.-Y. Chen and K. Oguie. On totally real submanifolds. Trans. Amer. Math. Soc. 193 (1974), 257-66.
9. 6(1) with K ≧ 1/16. J. Math. Soc. Japan 42 (1990), 565-84.
10. B. O'Neill. Semi-Riemannian Geometry, with Applications to Relativity (New York: Academic Press, 1985).
11. H. Reckziegel. On the problem whether the image of a given differentiable map into a Riemannian manifold is contained in a submanifold with parallel second fundamental form. J. Reine. Angew. Math. 325 (1981), 87-104.
12. H. Reckziegel. Horizontal lifts of isometric immersions into the bundle space of a pseudo-Riemannian submersion. In Global Differential Geometry and Global Analysis (1984), Lecture Notes in Mathematics 1156, 264-79 (Berlin: Springer, 1985).