Alesker, S. and Verbitski, M. (2006) Plurisubharmonic functions on hypercomplex manifolds and HKT- geometry. Journal of Geometric Analysis, 16(3), pp. 375-399. (doi: 10.1007/BF02922058)
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Abstract
A hypercomplex manifold is a manifold equipped with a triple of complex structures I, J, K satisfying the quaternionic relations. We define a quaternionic analogue of plurisubharmonic functions on hypercomplex manifolds, and interpret these functions geometrically as potentials of HKT (hyperkähler with torsion) metrics. We prove a quaternionic analogue of A. D. Aleksandrov and ChernLevine-Nirenberg theorems.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Verbitski, Dr Mikhail |
Authors: | Alesker, S., and Verbitski, M. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal of Geometric Analysis |
Journal Abbr.: | J. Geom. Anal. |
ISSN: | 1050-6926 |
ISSN (Online): | 1559-002X |
Published Online: | 29 June 2008 |
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