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Kählerian Information Geometry for Signal Processing
Published 2015-03-01Subjects: “…Kähler manifold…”
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Optimal Inequalities for Hemi-Slant Riemannian Submersions
Published 2022-10-01Subjects: Get full text
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Quarter-Symmetric Metric Connection on a Cosymplectic Manifold
Published 2023-05-01Subjects: Get full text
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Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds
Published 2023-10-01Subjects: Get full text
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Properties of Critical Points of the Dinew-Popovici Energy Functional
Published 2022-12-01Subjects: Get full text
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A Generalized Bochner Technique and Its Application to the Study of Conformal Mappings
Published 2021-12-01Subjects: Get full text
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Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
Published 2020-08-01Subjects: Get full text
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$L^2$ extension theorem for jets with variable denominators
Published 2021-03-01Subjects: Get full text
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On a k-th Gauduchon almost Hermitian manifold
Published 2022-02-01“…We characterize the k-th Gauduchon condition and by applying its characterization, we reprove that a compact k-th Gauduchon, semi-Kähler manifold becomes quasi-Kähler, which tells us that in particular, a compact almost pluriclosed, semi-Kähler manifold is quasi-Kähler.…”
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MODULI SPACE OF CALABI-YAU MANIFOLDS
Published 1991“…It is also shown that each of these spaces is itself a Kähler manifold and is moreover a Kähler manifold of restricted type. …”
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Hyperkähler and quaternionic Kähler geometry
Published 1990“…</p> <p>HyperKähler metrics are constructed on the fundamental quaternionic line bundle (with the zero-section removed) of a quaternionic Kähler manifold (indefinite if the scalar curvature is negative). …”
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On the generalization of Inoue manifolds
Published 2020-12-01“…To each matrix M in SL(2n+1,ℤ) we associate a complex non-Kähler manifold TM of complex dimension n+1. This manifold fibers over S1 with the fiber T2n+1 and monodromy MT. …”
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Polystable bundles and representations of their automorphisms
Published 2022-03-01“…Using a quasi-linear version of Hodge theory, holomorphic vector bundles in a neighbourhood of a given polystable bundle on a compact Kähler manifold are shown to be (poly)stable if and only if their corresponding classes are (poly)stable in the sense of geometric invariant theory with respect to the linear action of the automorphism group of the bundle on its space of in˝nitesimal deformations.…”
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RC-positive metrics on rationally connected manifolds
Published 2020-01-01“…In this paper, we prove that if a compact Kähler manifold X has a smooth Hermitian metric $\omega $ such that $(T_X,\omega )$ is uniformly RC-positive, then X is projective and rationally connected. …”
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M-theory compactification, fluxes, and AdS(4)
Published 2005“…We find explicit local solutions with singlet flux and the space being a warped product of a circle, a nearly Kähler manifold and AdS4. The embedding of solutions into heterotic M-theory is also discussed. © 2005 The American Physical Society.…”
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Kobayashi—Hitchin correspondence for twisted vector bundles
Published 2021-01-01“…We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds. More precisely, if X is a compact manifold and g is a Gauduchon metric on X, a twisted holomorphic vector bundle on X is g−polystable if and only if it is g−Hermite-Einstein, and if X is a compact Kähler manifold and g is a Kähler metric on X, then a twisted holomorphic vector bundle on X is g−semistable if and only if it is approximate g−Hermite-Einstein.…”
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