|
On problems of U. Simon concerning minimal submanifolds of the nearly Kaehler 6-sphere
Author(s):
Franki
Dillen;
Leopold
Verstraelen;
Luc
Vrancken
Journal:
Bull. Amer. Math. Soc.
19
(1988),
433-438.
MSC (1985):
Primary 53C40, 53C15, 53C20
MathSciNet review:
932322
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- 1.
- E. Calabi, Minimal immersions of surfaces in Euclidean spheres, J. Differential Geom. 1 (1967), 111-125. MR 233294
- 2.
- F. Dillen, L. Verstraelen and L. Vrancken, On almost complex surfaces of the nearly Kaehler 6-sphere. II, Kōdai Math. J. 10 (1987), 261-271. MR 929985
- 3.
- F. Dillen, Classification of totally real 3-dimensional submanifolds of $S\sp 6(1)$ with K$\ge 1/16$, preprint.
- 4.
- F. Dillen, B. Opozda, L. Verstraelen and L. Vrancken, On almost complex surfaces of the nearly Kaehler 6-sphere. I, Collection of Scientific Papers, Faculty of Science, Univ. of Kragujevac 8 (1987), 5-13. MR 1091234
- 5.
- F. Dillen, B. Opozda, L. Verstraelen and L. Vrancken, On totally real 3-dimensional submanifolds of the nearly Kaehler 6-sphere, Proc. Amer. Math. Soc. 99 (1987), 741-749. MR 877050
- 6.
- F. Dillen, B. Opozda, L. Verstraelen and L. Vrancken, On totally real surfaces of the nearly Kaehler 6-sphere, Geom. Dedicata (to appear). MR 960204
- 7.
- N. Ejiri, Totally real submanifolds in a 6-sphere, Proc. Amer. Math. Soc. 83 (1981), 759-763. MR 630028
- 8.
- N. Ejiri, Totally real submanifolds in a 6-sphere, preprint. MR 630028
- 9.
- A. Gray, Minimal varieties and almost Hermitian submanifolds, Michigan Math. J. 12 (1965), 273-287. MR 184185
- 10.
- A. Gray, Almost complex submanifolds of the six sphere, Proc. Amer. Math. Soc. 20 (1969), 277-279. MR 246332
- 11.
- R. Harvey and H. B. Lawson, Calibrated geometries, Acta Math. 148 (1982), 47-157. MR 666108
- 12.
- M. Kozlowski and U. Simon, Minimal immersions of, Math. Z. 186 (1984), 377-382. MR 744827
- 13.
- K. Mashimo, Homogeneous totally real submanifolds of S6, Tsukuba J. Math. 9 (1985), 185-202. MR 794670
- 14.
- A. Ros, A characterization of seven compact Kaehler submanifolds by holomorphic pinching, Ann. of Math. (2) 121 (1985), 377-382. MR 786353
- 15.
- K. Sekigawa, Almost complex submanifolds of a 6-dimensional sphere, Kōdai Math. J. 6 (1983), 174-185. MR 702939
- 16.
- M. Spivak, A comprehensive introduction to differential geometry, vol. IV, Publish or Perish, Berkeley, 1979. MR 532833
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1985):
53C40, 53C15, 53C20
Retrieve articles in all Journals with MSC
(1985):
53C40, 53C15, 53C20
Additional Information:
DOI:
10.1090/S0273-0979-1988-15688-1
PII:
S 0273-0979(1988)15688-1
|
Comments: webmaster@ams.org