Transgressed Euler classes of vector bundles, adiabatic limits of eta invariants and special values of -functions
Jean-Michel Bismut, Jeff Cheeger (1992)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Vanishing theorems for twistor spaces”
Transgressed Euler classes of vector bundles, adiabatic limits of eta invariants and special values of -functions
Vanishing theorems for compact hessian manifolds
Hirohiko Shima (1986)
Annales de l'institut Fourier
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A manifold is said to be Hessian if it admits a flat affine connection and a Riemannian metric such that where is a local function. We study cohomology for Hessian manifolds, and prove a duality theorem and vanishing theorems.
Yang-Mills bar connections over compact Kähler manifolds
Hông Vân Lê (2010)
Archivum Mathematicum
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In this note we introduce a Yang-Mills bar equation on complex vector bundles provided with a Hermitian metric over compact Hermitian manifolds. According to the Koszul-Malgrange criterion any holomorphic structure on can be seen as a solution to this equation. We show the existence of a non-trivial solution to this equation over compact Kähler manifolds as well as a short time existence of a related negative Yang-Mills bar gradient flow. We also show a rigidity of holomorphic connections...
On the conformal relation between twistors and Killing spinors
Friedrich, Thomas
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[For the entire collection see Zbl 0699.00032.] The author considers the conformal relation between twistors and spinors on a Riemannian spin manifold of dimension . A first integral is constructed for a twistor spinor and various geometric properties of the spin manifold are deduced. The notions of a conformal deformation and a Killing spinor are considered and such a deformation of a twistor spinor into a Killing spinor and conditions for the equivalence of these quantities is indicated. ...