Sphere theorems for submanifolds in Kähler manifold

DOI10.4310/MRL.2020.V27.N4.A10zbMATH Open1464.53079arXiv1810.07568OpenAlexW3111678232MaRDI QIDQ1996269

Yanyan Li

Publication date: 4 March 2021

Published in: Mathematical Research Letters (Search for Journal in Brave)

Abstract: In this paper, we prove some differentiable sphere theorems and topological sphere theorems for submanifolds in K"ahler manifold, especially in complex space forms.

Full work available at URL: https://arxiv.org/abs/1810.07568

zbMATH Keywords

constant holomorphic sectional curvaturetotally real submanifoldcomplex space forms

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40)

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