On G-invariant Minimal Hypersurfaces with Constant Scalar Curvatures in S5

• Journal title : Kyungpook mathematical journal
• Volume 53, Issue 4,  2013, pp.515-540
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2013.53.4.515
Title & Authors
On G-invariant Minimal Hypersurfaces with Constant Scalar Curvatures in S5
So, Jae-Up;

Abstract
Let \$G
Keywords
scalar curvature;G-invariant minimal hypersurface;square norm;
Language
English
Cited by
References
1.
S. Chang, On minimal hypersurfaces with constant scalar curvatures in \$S^4\$, J. Diff. Geom., 37(1993), 523-534.

2.
S. S. Chern, M. do Carmo and S. Kobayashi, Minimal submanifolds of a sphere with second fundamental form of constant length, Duke Math. J., 61(1990), 195-206.

3.
W. Y. Hsiang, On the construction of in nitely many congruence classes of imbedded closed minimal hypersurfaces in \$S^n\$(1) for all \$n{\geq}3\$, Duke Math. J., 55(2)(1987), 361-367.

4.
H. B. Lawson, Local rigidity theorems for minimal hypersurfaces, Annals of Math., 89(1969), 187-191.

5.
C. K. Peng and C. L. Terng, Minimal hypersurface of spheres with constant scalar curvature, Annals of Math. Studies, No. 103, Princeton University Press, Princeton, NJ, (1983), 177-198.

6.
J. Simons, Minimal varieties in a Riemannian manifold, Ann. of Math., 88(1968), 62-105.

7.
J. U. So, On G-invariant Minimal Hypersurfaces with Constant Scalar Curvatures in \$S^5\$, Commun. Korean Math. Soc., 17(2002), 261-278.

8.
H. Yang and Q. M. Cheng, Chern's conjecture on minimal hypersurfaces, Math. Z., 227(1998), 377-390.

9.
S. T. Yau, Problem section, Annals of Math. Studies, No. 102, Princeton University Press, Princeton, NJ, (1982), 693.