Mathematical Research Letters

Volume 27 (2020)

Number 4

Sphere theorems for submanifolds in Kähler manifold

Pages: 1195 – 1236

DOI: https://dx.doi.org/10.4310/MRL.2020.v27.n4.a10

Authors

Jun Sun (School of Mathematics & Statistics and Hubei Key Laboratory of Computational Science, Wuhan University, Wuhan, China)

Linlin Sun (School of Mathematics & Statistics and Hubei Key Laboratory of Computational Science, Wuhan University, Wuhan, China)

Abstract

In this paper, we prove some differentiable sphere theorems and topological sphere theorems for submanifolds in Kähler manifold, especially in complex space forms.

Received 17 October 2018

Accepted 25 February 2019

Published 14 December 2020