Results 11 to 20 of about 63,478 (260)
Affine Hermitian-Einstein Metrics [PDF]
Asian Journal of Mathematics, 2009 We develop a theory of stable bundles and affine Hermitian-Einstein metrics for flat vector bundles over a special affine manifold (a manifold admitting an atlas whose gluing maps are all locally constant volume-preserving affine maps). Our paper presents a parallel to Donaldson-Uhlenbeck-Yau's proof of the existence of Hermitian-Einstein metrics on K
John Loftin
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Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2012 We extend the formulation of pseudo-Hermitian quantum mechanics to eta-pseudo-Hermitian Hamiltonian operators H with an unbounded metric operator eta. In particular, we give the details of the construction of the physical Hilbert space, observables, and ...
Blank J +3 more
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Transactions of the American Mathematical Society, 2023 Let ( X , ω ) (X,\omega ) be a compact hermitian manifold of dimension n n . We study the asymptotic behavior of Monge-Ampère volumes ∫ X ( ω + d d c φ ) n
Daniele Angella +2 more
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Special Hermitian metrics on Oeljeklaus–Toma manifolds [PDF]
Bulletin of the London Mathematical Society, 2022 Oeljeklaus-Toma (OT) manifolds are higher dimensional analogues of Inoue-Bombieri surfaces and their construction is associated to a finite extension $K$ of $Q$ and a subgroup of units $U$. We characterize the existence of pluriclosed metrics (also known as strongly K\" ahler with torsion (SKT) metrics) on any OT manifold $X(K, U)$ purely in terms of ...
Alexandra Otiman
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Metric operators for quasi-Hermitian Hamiltonians and symmetries of equivalent Hermitian Hamiltonians [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 6 pages, published ...
Alí Mostafazadeh
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Deformation of Hermitian metrics
Mathematical Research Letters, 2022 In this work, we study the deformation of Hermitian metrics with Chern connection. By adapting the conformal perturbation method of Aubin and Ehrlich to Hermitian setting, we prove that Hermitian metrics with quasi-positive (resp. quasi-negative) second Chern-Ricci curvature can be deformed to one with positive (resp. negative) curvature.
Lee, Man-Chun, Li, Ka-Fai
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Singular hermitian metrics on holomorphic vector bundles
Arkiv för Matematik, 2012 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.
Hossein Raufi
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Дифференциальная геометрия многообразий фигур, 2022 Six-dimensional planar submanifolds of Cayley algebra equipped with almost Hermitian structures induced by Brown — Gray three-fold vector cross products in are considered.
G.A. Banaru
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Remarks on Chern–Einstein Hermitian metrics [PDF]
Mathematische Zeitschrift, 2019 minor changes, to appear in Math ...
daniele angella +2 more
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A note on η-quasi-umbilical hypersurfaces in almost Hermitian manifolds
Дифференциальная геометрия многообразий фигур, 2023 In the present note, we consider the introduced by Lidia Vasil’evna Stepanova notion of an -quasi-umbilical hypersurface in an almost Hermitian manifold.
M. B. Banaru
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