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Publication:4007952
zbMath0763.53034MaRDI QIDQ4007952
Publication date: 27 September 1992
Full work available at URL: http://www.numdam.org/item?id=ASNSP_1991_4_18_4_563_0
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Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Vanishing theorems (32L20)
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Complex structures on quaternionic manifolds ⋮ Locally conformal Hermitian metrics on complex non-Kähler manifolds ⋮ Pseudo-harmonic Hermitian structures on Weyl manifolds ⋮ Twisted Dirac operators and generalized gradients ⋮ Ambitoric geometry. I: Einstein metrics and extremal ambikähler structures ⋮ Subriemannian metrics and the metrizability of parabolic geometries ⋮ On the algebraic dimension of twistor spaces over the connected sum of four complex projective planes ⋮ Holomorphic deformations of balanced Calabi-Yau $\partial \bar{\partial}$-manifolds ⋮ Weyl structures with positive Ricci tensor. ⋮ Product twistor spaces and Weyl geometry ⋮ A note on small deformations of balanced manifolds ⋮ A prolongation of the conformal-Killing operator on quaternionic-Kähler manifolds ⋮ Bochner-Weitzenböck formulas and curvature actions on Riemannian manifolds ⋮ Curvature properties of twistor spaces ⋮ Universal positive mass theorems ⋮ The standard Laplace operator ⋮ Uniformization of conformally flat hermitian surfaces ⋮ Harmonic and holomorphic 1-forms on compact balanced Hermitian manifolds ⋮ Einstein condition and twistor spaces of compatible partially complex structures ⋮ Twistor spaces of generalized complex structures ⋮ Killing forms on \(G_2\)- and spin\(_7\)-manifolds ⋮ Hyperbolic twistor space ⋮ Asymptotically flat conformal structures ⋮ Curvature properties of the Chern connection of twistor spaces ⋮ Complete noncompact \(\mathrm{G}_2\)-manifolds from asymptotically conical Calabi-Yau 3-folds ⋮ Twistorial examples of Riemannian almost product manifolds and their Gil–Medrano and Naveira types ⋮ Refined Kato inequalities and conformal weights in Riemannian geometry ⋮ Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics ⋮ Ricci-corrected derivatives and invariant differential operators ⋮ Bochner identities for Kählerian gradients ⋮ Compatible complex structures on almost quaternionic manifolds
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