Normal scalar curvature and a pinching theorem in $\mathbb{S}^m $ × ℝ and ℍ m × ℝ

Author:

Chen Qun,Cui Qing

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference9 articles.

1. Abresch U, Rosenberg H. The Hopf differential for constant mean curvature surfaces in $\mathbb{S}^2 $ × ℝ and ℍ2×ℝ. ActaMath, 2004, 193: 141–174

2. Chern S S, do Carmo M, Kobayashi S. Minimal submanifolds of a sphere with second fundamental form of constant length. In: Functional Analysis and Related Fields. New York: Springer, 1970

3. Daniel B. Isometric immersions into $\mathbb{S}^n $ ×ℝ and ℍn × ℝ and applications to minimal surfaces. Trans Amer Math Soc, 2009, 361: 6255–6282

4. De Smet P J, Dillen F, Verstraelen L, et al. A pointwise inequality in submanifold theory. Arch Math, 1999, 35: 115–128

5. Dillen F, Fastenakels J, Veken J. Remarks on an inequality involving the normal scalar curvature. In: Pure and Applied Differential Geometry. Aachen: Shaker-Verlag, 2007, 83–92

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