Vanishing theorems for twistor spaces

Antonella Nannicini

Displaying similar documents to “Vanishing theorems for twistor spaces”

Transgressed Euler classes of $SL (2 n, 𝐙)$ vector bundles, adiabatic limits of eta invariants and special values of $L$ -functions

Jean-Michel Bismut, Jeff Cheeger (1992)

Annales scientifiques de l'École Normale Supérieure

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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 $D$ and a Riemannian metric $g$ such that $g = D^{2} u$ where $u$ 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 $E$ provided with a Hermitian metric over compact Hermitian manifolds. According to the Koszul-Malgrange criterion any holomorphic structure on $E$ 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 $n \geq 3$ . 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. ...

Displaying similar documents to “Vanishing theorems for twistor spaces”

Transgressed Euler classes of SL ( 2 n , 𝐙 ) vector bundles, adiabatic limits of eta invariants and special values of L -functions

Vanishing theorems for compact hessian manifolds

Yang-Mills bar connections over compact Kähler manifolds

On the conformal relation between twistors and Killing spinors

Transgressed Euler classes of $SL (2 n, 𝐙)$ vector bundles, adiabatic limits of eta invariants and special values of $L$ -functions