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论文类型：期刊论文

发表时间：2021-01-10

发表刊物：MATHEMATICS

卷号：8

期号：9

关键字：Riemannian warped product; DDVV Conjecture; pinching theorem

摘要：Let S-m (c) be a Euclidean sphere of curvature c > 0 and R be a Euclidean line. We prove a pinching theorem for compact minimal submanifolds immersed in Riemannian warped products of the type I x f(Sm) (c), where f : I -> R+ is a smooth positive function on an open interval I of R. This allows us to generalize Chen-Cui's pinching theorem from Riemannian products S-m (c) x R to Riemannian warped products I x f(Sm) (c).