Ricci Positive Metrics on the Moment-Angle Manifolds |
| |
Authors: | Liman CHEN and Feifei FAN |
| |
Institution: | School of Mathematical Sciences, Capital Normal University, Beijing 100048, China. and Corresponding author. School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China. |
| |
Abstract: | In this paper, the authors consider the problem of which
(generalized) moment-angle manifolds admit Ricci positive metrics.
For a simple polytope $P$, the authors can cut off one vertex $v$ of
$P$ to get another simple polytope $P_{v}$, and prove that if the
generalized moment-angle manifold corresponding to $P$ admits a
Ricci positive metric, the generalized moment-angle manifold
corresponding to $P_{v}$ also admits a Ricci positive metric. For a
special class of polytope called Fano polytopes, the authors prove
that the moment-angle manifolds corresponding to Fano polytopes
admit Ricci positive metrics. Finally some conjectures on this
problem are given. |
| |
Keywords: | Moment-Angle manifolds Simple polytope Cutting off face PositiveRicci curvature Fano polytope |
本文献已被 SpringerLink 等数据库收录! |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |