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Integral geometry under G2and Spin(7)

✍ Scribed by Andreas Bernig


Book ID
107529434
Publisher
The Hebrew University Magnes Press
Year
2011
Tongue
English
Weight
244 KB
Volume
184
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


Killing spinor equations in dimension 7
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We compute the scalar curvature of seven-dimensional G 2 -manifolds admitting a G 2 -connection with totally skew-symmetric torsion. We prove the formula for the general solution of the Killing spinor equation and express the Riemannian scalar curvature of the solution in terms of the dilation funct

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✍ M. Cvetič; G.W. Gibbons; H. Lu; C.N. Pope πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 327 KB

In this paper, we look for metrics of cohomogeneity one in D = 8 and D = 7 dimensions with Spin(7) and G 2 holonomy, respectively. In D = 8, we first consider the case of principal orbits that are S 7 , viewed as an S 3 bundle over S 4 with triaxial squashing of the S 3 fibres. This gives a more gen