On Compact Hermitian Manifolds with Flat Gauduchon Connections
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DOI: 10.1007/s10114-018-7409-y
Abstract: Given a Hermitian manifold (Mn, g), the Gauduchon connections are the one parameter family of Hermitian connections joining the Chern connection and the Bismut connection. We will call $${\nabla ^s} = \left( {1 - \frac{s}{2}}… read more here.
Keywords: connection; flat gauduchon; gauduchon connections; compact hermitian ... See more keywords
Weak solutions of the Monge–Ampère equation on compact Hermitian manifolds
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DOI: 10.1142/s0129167x1740002x
Abstract: In this paper, we describe how pluripotential methods can be applied to study weak solutions of the complex Monge–Ampere equation on compact Hermitian manifolds. We indicate the differences between Kahler and non-Kahler setting. The results… read more here.
Keywords: solutions monge; weak solutions; compact hermitian; hermitian manifolds ... See more keywords