Ed(d) × R Generalised Geometry
نویسنده
چکیده
منابع مشابه
Generalised Geometry for M-Theory
Generalised geometry studies structures on a d-dimensional manifold with a metric and 2-form gauge field on which there is a natural action of the group SO(d, d). This is generalised to d-dimensional manifolds with a metric and 3-form gauge field on which there is a natural action of the group Ed. This provides a framework for the discussion of M-theory solutions with flux. A different generali...
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The D-eigenvalues {µ1,…,µp} of a graph G are the eigenvalues of its distance matrix D and form its D-spectrum. The D-energy, ED(G) of G is given by ED (G) =∑i=1p |µi|. Two non cospectral graphs with respect to D are said to be D-equi energetic if they have the same D-energy. In this paper we show that if G is an r-regular graph on p vertices with 2r ≤ p - 1, then the complements of iterated lin...
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For a pair of convex bodies K and K ′ in Ed , the d-dimensional intersections K ∩ (x + K ′), x ∈ Ed , are centrally symmetric if and only if K and K ′ are represented as direct sums K = R ⊕ P and K ′ = R′ ⊕ P ′ such that: (i) R is a compact convex set of some dimension m, 0 ≤ m ≤ d, and R′ = z − R for a suitable vector z ∈ Ed , (ii) P and P ′ are isothetic parallelotopes, both of dimension d − m.
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تاریخ انتشار 2012