Hou, Zhong Hua
Professor Supervisor of Doctorate Candidates Supervisor of Master's Candidates
Gender:Male
Alma Mater:日本东京工业大学
Degree:Doctoral Degree
School/Department:数学科学学院
Discipline:Pure Mathematics
E-Mail:zhonghua@dlut.edu.cn
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Indexed by:期刊论文
Date of Publication:2021-01-10
Journal:MATHEMATICS
Volume:8
Issue:9
Key Words:Riemannian warped product; DDVV Conjecture; pinching theorem
Abstract: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).
