# Decomposable (4, 7) solutions in eleven-dimensional supergravity

@article{Alekseevsky2019Decomposable7, title={Decomposable (4, 7) solutions in eleven-dimensional supergravity}, author={Dmitri Alekseevsky and Ioannis Chrysikos and Arman Taghavi-Chabert}, journal={Classical and Quantum Gravity}, year={2019} }

Consider an oriented four-dimensional Lorentzian manifold $(\widetilde{M}^{3, 1}, \widetilde{g})$ and an oriented seven-dimensional Riemannian manifold $(M^{7}, g)$. We describe a class of decomposable eleven-dimensional supergravity backgrounds on the product manifold $({\mathcal{M}}^{10, 1}=\widetilde{M}^{3,1} \times M^7, g_{{\mathcal{M}}}=\widetilde{g}+g)$, endowed with a flux form given in terms of the volume form on $\widetilde{M}^{3, 1}$ and a closed $4$-form $F^{4}$ on $M^{7}$. We show…

## 2 Citations

Choices of spinor inner products on M-theory backgrounds

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M-theory backgrounds in the form of unwarped compactifications with or without fluxes are considered. Bilinear forms of supergravity Killing spinors for different choices of spinor inner products are…

On warped product of Hermitian and Kählerian manifolds

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In this paper, warped product in Hermitian and Kählerian manifolds was considered, and almost complex structure on the warped product is defined. Also, warped product almost Hermitian manifolds were…

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