The normal curvature of totally real submanifolds of s6(1)

Glasgow Mathematical Journal

Volumn 40, Issue 2, 1998, Pages 199-204

  de Smet, P J ^a   Dillen, F ^a   Verstraelen, L ^a   Vrancken, L ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85011501534     PISSN: 00170895     EISSN: 1469509X     Source Type: Journal    
DOI: 10.1017/S0017089500032511     Document Type: Article

References (13)

1. Bolton J., Vrancken L. and Woodward L. M., On almost complex curves in the nearly Kähler 6-sphere, Quart. J. Math. Oxford Ser. (2) 45 (1994), 407–,427.
2. Calabi E., Construction and properties of some 6-dimensional almost complex manifolds, Trans. Amer. Math. Soc. 87 (1958), 407–438.
3. Chen B. Y., Some pinching and classification theorems for minimal submanifolds, Arch Math. (Basel) 60 (1993), 568–578.
4. Chen B. Y., Mean curvature and shape operator of isometric immersions in real-space-forms, Glasgow Math. J. 38 (1996), 87–97.
5. Chen B.-Y., Dillen F., Verstraelen L. and Vrancken L., Two equivariant totally real immersions into the nearly Kähler 6-sphere and their characterization, Japanese J. Math. (N.S.) 21 (1995), 207–222.
6. Chen B. Y., Dillen F., Verstraelen L. and Vrancken L., Characterizing a class of totally real submanifolds of S6 (l) by their sectional curvatures, Tōhoku Math. J. 47 (1995), 185–198.
7. De Smet P. J., Dillen F., Verstraelen L. and Vrancken L., A pointwise inequality in submanifold theory (1996), Arch. Math. (Brno), to appear.
8. Dillen F., Verstraelen L. and Vrancken L., Classification of totally real 3-dimensional submanifolds of S6 (1) with K ≥ 1/16; J. Math. Soc. Japan 42 (1990), 565–584.
9. Dillen F. and Vrancken L., Totally real Submanifolds in S 6 satisfying Chen's Equality, Trans. Amer. Math. Soc. 348 (1996), 1633–1646.
10. Ejiri N., Totally real submanifolds in a 6-sphere, Proc. Amer. Math. Soc. 83 (1981), 759–763.
11. Guadalupe I. V. and Rodriguez L., Normal curvature of surfaces in space forms, Pacific J. Math. 106 (1983), 95–103.
12. Vrancken L., Locally symmetric submanifolds of the nearly Kaehler S 6, Algebras, Groups and Geometries 5 (1988), 369–394.
13. Wintgen P., Sur l'inégalité de Chen-Willmore, C. R. Acad. Sc. Paris 288 (1979), 993–995.