Special geometries associated to quaternion-Kahler 8-manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:91

Article

Gambioli, A.¹  Nagatomo, Y.²  Salamon, S.³ 

[1] Dawson Coll, Dept Math, Westmount, PQ H3Z 1A4, Canada

[2] Meiji Univ, Dept Math, Tama Ku, Kawasaki, Kanagawa 2148571, Japan

[3] Kings Coll London, Dept Math, London WC2R 2LS, England

关键词: Kahler quotient;    Holonomy G(2);    Half-flat metric;   

DOI  :  10.1016/j.geomphys.2014.11.007

来源: Elsevier

【 摘 要 】

We develop a calculus of differential forms on a quaternion-Kahler manifold M-4n admitting an isometric circle action. This is used to study three fundamental examples of such actions on the quatemionic projective plane and the construction of G(2) and half-flat structures on quotients of M-8 and its hypersurfaces. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free