Results 131 to 140 of about 65,221 (236)

Singular hermitian metrics on holomorphic vector bundles

open access: yesArkiv för Matematik, 2015
We introduce and study a notion of singular hermitian metrics on holomorphic vector bundles, following Berndtsson and P{ }un. We define what it means for such a metric to be curved in the sense of Griffiths and investigate the assumptions needed in order to locally define the cuvature $ ^h$ as a matrix of currents.
openaire   +4 more sources

Quasicomplex N=2, d=1 Supersymmetric Sigma Models

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2013
We derive and discuss a new type of N=2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1,2,1) multiplets is modified by adding an imaginary antisymmetric tensor to the target space metric, thus completing ...
Evgeny A. Ivanov, Andrei V. Smilga
doaj   +1 more source

A new class of non-Kähler metrics

open access: yesComplex Manifolds
We study the stability at blow-ups and deformations of a class of Hermitian metrics whose fundamental two-form ω\omega satisfies the condition ∂∂¯ωk=0\partial \bar{\partial }{\omega }^{k}=0, for any kk between 1 and n−1n-1 (where nn is the complex ...
Ciulică Cristian
doaj   +1 more source

Einstein Hermitian metrics of positive sectional curvature

open access: yesProceedings of the American Mathematical Society, 2014
It is shown that, up to scaling and isometry, the only complete 4-manifold with an Einstein metric of positive sectional curvature which is also Hermitian with respect to some complex structure is the complex projective plane C P 2 \mathbb {CP}_2 , equipped with its Fubini-Study metric.
openaire   +2 more sources

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