侯中华

122

  • 教授     博士生导师   硕士生导师
  • 性别:男
  • 毕业院校:日本东京工业大学
  • 学位:博士
  • 所在单位:数学科学学院
  • 学科:基础数学
  • 电子邮箱:zhonghua@dlut.edu.cn

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A Pinching Theorem for Compact Minimal Submanifolds in Warped Products I x f(Sm) (c)

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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).