Quantisation of Extremal Kähler Metrics
نویسندگان
چکیده
منابع مشابه
Kähler metrics ( II )
This paper, the second of a series, deals with the function space of all smooth Kähler metrics in any given closed complex manifold M in a fixed cohomology class. This function space is equipped with a pre-Hilbert manifold structure introduced by T. Mabuchi [10], where he also showed formally it has non-positive curvature. The previous result of the second author [4] showed that the space is a ...
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Let (X, [ω]) be a compact Kähler manifold with a fixed Kähler class [ω]. Let K ω be the set of all Kähler metrics on X whose Kähler class equals [ω]. In this paper we investigate the critical points of the functional g ∈ K ω → Q(g) = v g T 0 (X, g) 1/2 , where v is a fixed nonzero vector of the determinant line λ(X) associated to H * (X) and T 0 (X, g) is the Ray-Singer analytic torsion. For a ...
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ژورنال
عنوان ژورنال: The Journal of Geometric Analysis
سال: 2020
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-020-00381-7