Article ID Journal Published Year Pages File Type
1892614 Journal of Geometry and Physics 2016 7 Pages PDF
Abstract

An LCK manifold with potential is a quotient of a Kähler manifold XX equipped with a positive Kähler potential ff, such that the monodromy group acts on XX by holomorphic homotheties and multiplies ff by a character. The LCK rank is the rank of the image of this character, considered as a function from the monodromy group to real numbers. We prove that an LCK manifold with potential can have any rank between 1 and b1(M)b1(M). Moreover, LCK manifolds with proper potential (ones with rank 1) are dense. Two errata to our previous work are given in the last section.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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