Results 51 to 60 of about 63,478 (260)

SINGULAR HERMITIAN METRICS WITH ISOLATED SINGULARITIES

Nagoya Mathematical Journal, 2022
AbstractIn this paper, we study the coherence of a higher rank analogue of a multiplier ideal sheaf. Key tools of the study are Hörmander’s $L^2$ -estimate and a singular version of a Demailly–Skoda-type result.
openaire   +2 more sources

Explicit doubly-hermitian metrics

Differential Geometry and its Applications, 1999
The author constructs examples of four-dimensional Riemannian manifolds admitting two independent compatible Hermitian structures. Here, compatible means same orientation.
openaire   +3 more sources

A maximum principle for Hermitian (and other) metrics [PDF]

Proceedings of the American Mathematical Society, 2015
We consider homomorphisms of hermitian holomorphic Hilbert bundles. Assuming the homomorphism decreases curvature, we prove that its pointwise norm is plurisubharmonic.
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The complex Monge-Amp\`{e}re equation on some compact Hermitian manifolds

, 2014
We consider the complex Monge-Amp\`{e}re equation on compact manifolds when the background metric is a Hermitian metric (in complex dimension two) or a kind of Hermitian metric (in higher dimensions).
Chu, Jianchun
core   +1 more source

Some remarks on quasi-Hermitian operators [PDF]

, 2013
A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metric operator, i.e., a strictly positive self-adjoint operator.
Antoine J.-P., Barut A. O., Camillo Trapani, Dieudonné J., Dunford N., Hoover T. B., Jean-Pierre Antoine, Mackey G. W., Reed M., Reed M., Sz.-Nagy B.   +10 more
core   +1 more source

Ellipticity‐Controlled Exceptional Points and Cross‐Polarized Phase Singularities in Multi‐Layer Silicon Guided Mode Resonant Metasurfaces

Advanced Optical Materials, EarlyView.
Omni‐polarizers that pull all input polarization states to an elliptical or linear polarization can be made using highly resonant bi‐layer metasurfaces. The ellipticity of the selected polarization can be controlled by choosing the layer separation.
Ben Goldberg, Shuang Zhang, Mark Lawrence   +2 more
wiley   +1 more source

Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds

Comptes Rendus. Mathématique
We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. Nakano) can be approximated by a sequence of smooth Hermitian metrics with the same curvature negativity.
Deng, Fusheng, Ning, Jiafu, Wang, Zhiwei, Zhou, Xiangyu   +3 more
doaj   +1 more source

A note on Demailly’s approach towards a conjecture of Griffiths

Comptes Rendus. Mathématique, 2021
We prove that a “cushioned” Hermitian–Einstein-type equation proposed by Demailly in an approach towards a conjecture of Griffiths on the existence of a Griffiths positively curved metric on a Hartshorne ample vector bundle, has an essentially unique ...
Pingali, Vamsi Pritham
doaj   +1 more source

Hermitian vector fields and special phase functions

, 2005
We start by analysing the Lie algebra of Hermitian vector fields of a Hermitian line bundle. Then, we specify the base space of the above bundle by considering a Galilei, or an Einstein spacetime.
Abraham R., Canarutto D., Cohen-Tannoudji C., García P. L., Greub W., Janyška J., Janyška J., Janyška J., Janyška J., JOSEF JANYŠKA, Landau L., MARCO MODUGNO, Souriau J.-M., Vitolo R., Woodhouse N.   +14 more
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On anti-Hermitian metric connections

Comptes Rendus. Mathématique, 2014
Abstract It is a remarkable fact that anti-Kahler and its twin metrics share the same Levi–Civita connection. Such torsion-free metric connection also emphasizes the importance of anti-Hermitian metric connections with torsion in the study of anti-Hermitian geometry.
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