Lifting SU(3)-structures to nearly parallel G2-structures
نویسندگان
چکیده
منابع مشابه
Conformally Parallel G2 Structures on a Class of Solvmanifolds
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...
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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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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2009
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2008.08.003