Kähler C-spaces and quadratic bisectional curvature

2012/02/21 by Albert Chau, Chau, Albert, Luen-Fai Tam +1
Mathematics · #32Q10 #32Q15 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:32Q10 #msc:32Q15

paper · pdf · doi:10.48550/arxiv.1202.4542

64 pages. Minor editions and corrections made to previous version

openalex publication_date 2012/02/21 · arxiv created 2012/12/20 · arxiv updated 2012/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we give necessary and sufficient conditions for an irreducible Kähler C-space with b₂=1 to have nonnegative or positive quadratic bisectional curvature, assuming the space is not Hermitian symmetric. In the cases of the five exceptional Lie groups E₆, E₇, E₈, F₄, G₂, the computer package MAPLE is used to assist our calculations. The results are related to two conjectures of Li-Wu-Zheng.

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