منابع مشابه
The Second Dirac Eigenvalue of a Nearly Parallel G2-manifold
is the smallest eigenvalues of the square of the Riemannian Dirac operator D, see [6]. The question whether or not one can estimate the next eigenvalue μ2(D ) has not yet been investigated for Dirac operators. Remark that in case of the Laplacian acting on functions of an Einstein spaceM 6= S, there are lower estimates for small eigenvalues depending on the minimum of the sectional curvature, s...
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Starting from a 6-dimensional nilpotent Lie group N endowed with an invariant SU(3) structure, we construct a homogeneous conformally parallel G2-metric on an associated solvmanifold. We classify all half-flat SU(3) structures that endow the rank-one solvable extension of N with a conformally parallel G2 structure. By suitably deforming the SU(3) structures obtained, we are able to describe the...
متن کاملSome remarks on G2-structures
This article consists of loosely related remarks about the geometry of G2structures on 7-manifolds, some of which are based on unpublished joint work with two other people: F. Reese Harvey and Steven Altschuler. After some preliminary background information about the group G2 and its representation theory, a set of techniques is introduced for calculating the differential invariants of G2-struc...
متن کاملYang-Mills flows on nearly Kähler manifolds and G2-instantons
We consider Lie(G)-valued G-invariant connections on bundles over spaces G/H , R×G/H and R2×G/H , where G/H is a compact nearly Kähler six-dimensional homogeneous space, and the manifolds R×G/H and R2×G/H carry G2and Spin(7)-structures, respectively. By making a G-invariant ansatz, Yang-Mills theory with torsion on R×G/H is reduced to Newtonian mechanics of a particle moving in a plane with a q...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 1997
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(97)80004-6