2 isometry

Abstract We determine the 6-dimensional nilpotent metric Lie algebras such that algebra $${\mathfrak {n}}$$ n has a descending series of ideals invariant under all automorphisms and dimension consecutive members decreases by one. call them having framing determined ideals. classify isometry equivalence classe...

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OF MATHEMATICAL COMBINATORICS EDITED BY THE MADIS OF CHINESE ACADEMY OF SCIENCES March , 2012

2012

Linfan Mao Linfan MAO Junliang Cai Yanxun Chang Xiaodong Hu Xueliang Li Guodong Liu

A pseudo-Euclidean space (R, μ) is such a Euclidean space R associated with a mapping μ : − → V x → x − → V for x ∈ R, and a linear isometry T : (R, μ) → (R, μ) is such a linear isometry T : R → R that Tμ = μT . In this paper, we characterize curvature of s-line, particularly, Smarandachely embedded graphs and determine linear isometries on (R, μ).

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Isometry Groups and Geodesic Foliations of Lorentz Manifolds. Part Ii: Geometry of Analytic Lorentz Manifolds with Large Isometry Groups

1999

A. Zeghib

This is part II of a series on noncompact isometry groups of Lorentz manifolds. We have introduced in part I, a compactification of these isometry groups, and called “bipolarized” those Lorentz manifolds having a “trivial ” compactification. Here we show a geometric rigidity of non-bipolarized Lorentz manifolds; that is, they are (at least locally) warped products of constant curvature Lorentz ...

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Random Generation of Linear Codes

1999

Harald Fripertinger

Isometry classes of linear codes can be expressed as orbits under the group action of a wreath product. Some combinatorial and algebraic methods are discussed which can be applied for generating linear codes distributed uniformly at random over all isometry classes.

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