منابع مشابه
Octonion X,Y-Product G2 Variants
The automorphism group G2 of the octonions changes when octonion X,Y-product variants are used. I present here a general solution for how to go from G2 to its X,Y-product variant. * Happy Birthday to Larry Horwitz. If there’s a next time you must come.
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It is shown that every bundle ! M of complex, irreducible and faithful modules over the Cliiord bundle of an even-dimensional Riemannian space (M; g) with local model (V; h) is associated with a cpin (\Cliiord") structure on M, this being an extension of the SO(h)-bundle of orthonormal frames on M to the Cliiord group Cpin(h) = (C Spin(h))=Z 2. An explicit construction is given of the total spa...
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In this paper we study a Riemanian metric on the tangent bundle T (M) of a Riemannian manifold M which generalizes Sasaki metric and Cheeger Gromoll metric and a compatible almost complex structure which together with the metric confers to T (M) a structure of locally conformal almost Kählerian manifold. This is the natural generalization of the well known almost Kählerian structure on T (M). W...
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consists of loosely related remarks about the geometry of G2structures on 7-manifolds, some of which are based on unpublished joint work with two other people: F. Reese Harvey and Steven Altschuler.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...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2017
ISSN: 0001-8708
DOI: 10.1016/j.aim.2016.12.003