Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds

Details Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds

2001-12-19

arxiv.org/abs/math/0112201v1

J. Geom. Phys. 48 (2003), 1-11

Mathematics

Differential Geometry

Latex2e, 9 pages

Scientific paper

We compute the scalar curvature of 7-dimensional ${G}_2$-manifolds admitting a 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 function and the NS 3-form field. In dimension n=7 the dilation function involved in the second fermionic string equation has an interpretation as a conformal change of the underlying integrable ${G}_2$-structure into a cocalibrated one of pure type $W_3$.

Affiliated with

Also associated with

No associations

Rating

Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-521691