Verbitsky, M. (2005) Hypercomplex structures on Kähler manifolds. Geometric and Functional Analysis, 15(6), pp. 1275-1283. (doi: 10.1007/s00039-005-0537-4)
Full text not currently available from Enlighten.
Publisher's URL: http://dx.doi.org/10.1007/s00039-005-0537-4
Abstract
Let (M, I) be a compact Kähler manifold admitting a hypercomplex structure (M, I, J, K). We show that (M, I, J, K) admits a natural HKT-metric. This is used to construct a holomorphic symplectic form on (M, I).
Item Type: | Articles |
---|---|
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | UNSPECIFIED |
Authors: | Verbitsky, M. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Geometric and Functional Analysis |
Publisher: | Springer Verlag |
ISSN: | 1016-443X |
ISSN (Online): | 1420-8970 |
Published Online: | 01 November 2005 |
University Staff: Request a correction | Enlighten Editors: Update this record