Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds
نویسندگان
چکیده
منابع مشابه
Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds
A quaternionic version of the Calabi problem on the MongeAmpère equation is introduced, namely a quaternionic MongeAmpère equation on a compact hypercomplex manifold with an HKT-metric. The equation is non-linear elliptic of second order. For a hypercomplex manifold with holonomy in SL(n,H), uniqueness (up to a constant) of a solution is proven, as well as the zero order a priori estimate. The ...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2010
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-010-0022-0