K\"ahler C-spaces and quadratic bisectional curvature

Albert Chau; Luen-Fai Tam

K\"ahler C-spaces and quadratic bisectional curvature

Differential Geometry 2012-12-21 v4

Authors: Albert Chau , Luen-Fai Tam

Abstract

In this article we give necessary and sufficient conditions for an irreducible K\"ahler C-space with $b_2=1$ to have nonnegative or positive quadratic bisectional curvature, assuming the space is not Hermitian symmetric. In the cases of the five exceptional Lie groups $E_6, E_7, E_8, F_4, G_2$ , the computer package MAPLE is used to assist our calculations. The results are related to two conjectures of Li-Wu-Zheng.

Keywords

Kähler C-spaces quadratic bisectional curvature irreducible Hermitian symmetric exceptional Lie groups Li-Wu-Zheng conjectures

Cite

@article{arxiv.1202.4542,
  title  = {K\"ahler C-spaces and quadratic bisectional curvature},
  author = {Albert Chau and Luen-Fai Tam},
  journal= {arXiv preprint arXiv:1202.4542},
  year   = {2012}
}

Comments

64 pages. Minor editions and corrections made to previous version

K\"ahler C-spaces and quadratic bisectional curvature

Abstract

Keywords

Cite

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