Some pinching theorems for minimal submanifolds in $$ \mathbb{S}^m (1) \times \mathbb{R} $$
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s11425-012-4556-y.pdf
Reference18 articles.
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3. 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, 59–75
4. Daniel B. Isometric immersions into $$ \mathbb{S}^n \times \mathbb{R} $$ and ℍn ×ℝ and applications to minimal surfaces. Trans Amer Math Soc, 2009, 361: 6255–6282
5. Dillen F, Fastenakels J, Van der Veken J. Surfaces in $$ \mathbb{S}^2 \times \mathbb{R} $$ with a canonical principal direction. Ann Global Anal Geom, 2009, 35: 381–396
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3. Pinching Problems of Minimal Submanifolds in a Product Space;Vietnam Journal of Mathematics;2018-04-11
4. A Classification Theorem for Complete PMC Surfaces with Non-negative Gaussian Curvature in $M^n(c) \times \mathbb{R}$;Taiwanese Journal of Mathematics;2016-02-01
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