PARTIAL CLASSIFICATION RESULTS FOR POSITIVE QUATERNION KÄHLER MANIFOLDS-Reference-Cited by-同舟云学术

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PARTIAL CLASSIFICATION RESULTS FOR POSITIVE QUATERNION KÄHLER MANIFOLDS

Published:2012-02 Issue:02 Volume:23 Page:1250038
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

AMANN MANUEL¹

Affiliation:

1. Fachbereich Mathematik und Informatik, Westfälische Wilhelms-Universität Münster, Einsteinstr. 62, 48149 Münster, Germany

Abstract

Positive Quaternion Kähler Manifolds are Riemannian manifolds with holonomy contained in Sp(n)Sp(1) and with positive scalar curvature. Conjecturally, they are symmetric spaces. We prove this conjecture in dimension 20 under additional assumptions and we provide recognition theorems for the real Grassmannian [Formula: see text] in almost all dimensions.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X12500383

Reference19 articles.

1. Spin-Manifolds and Group Actions

2. Classics in Mathematics;Besse A. L.,2008

3. Les sous-groupes fermés de rang maximum des groupes de Lie clos

4. Characteristic Classes and Homogeneous Spaces, II

5. Graduate Texts in Mathematics;Bröcker T.,1995

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Tachibana-type theorems and special Holonomy;Annals of Global Analysis and Geometry;2022-03-21

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