English

Sphere theorems for Lagrangian and Legendrian submanifolds

Differential Geometry 2018-10-24 v1

Abstract

In this paper, we prove some differentiable sphere theorems and topological sphere theorems for Lagrangian submanifolds in K\"ahler manifold and Legendrian submanifolds in Sasaki space form.

Keywords

Cite

@article{arxiv.1810.09445,
  title  = {Sphere theorems for Lagrangian and Legendrian submanifolds},
  author = {Jun Sun and Linlin Sun},
  journal= {arXiv preprint arXiv:1810.09445},
  year   = {2018}
}

Comments

26 pages. arXiv admin note: substantial text overlap with arXiv:1810.07568

R2 v1 2026-06-23T04:48:45.212Z