Connections with torsion, parallel spinors and geometry of Spin(7) manifolds
نویسندگان
چکیده
منابع مشابه
Connections with Torsion, Parallel Spinors and Geometry of Spin(7) Manifolds
We show that on every Spin(7)-manifold there always exists a unique linear connection with totally skew-symmetric torsion preserving a nontrivial spinor and the Spin(7) structure. We express its torsion and the Riemannian scalar curvature in terms of the fundamental 4-form. We present an explicit formula for the Riemannian covariant derivative of the fundamental 4-form in terms of its exterior ...
متن کاملConnection with torsion, parallel spinors and geometry of Spin(7) manifolds
We show that on every Spin(7)-manifold there always exists a unique linear connection with totally skew-symmetric torsion preserving a nontrivial spinor and the Spin(7) structure. We express its torsion and the Riemannian scalar curvature in terms of the fundamental 4-form. We present an exlicit formula for the Riemannian covariant derivative of the fundamental 4form in terms of its exterior di...
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We describe all almost contact metric, almost hermitian and G 2-structures admitting a connection with totally skew-symmetric torsion tensor, and prove that there exists at most one such connection. We investigate its torsion form, its Ricci tensor, the Dirac operator and the ∇-parallel spinors. In particular, we obtain solutions of the type II string equations in dimension n = 5, 6 and 7.
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2004
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2004.v11.n2.a3