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Lorentzian similarity manifolds

100%

Kamishima Y.

Open Mathematics

2012

tom 10

nr 5

1771-1788

An (m+2)-dimensional Lorentzian similarity manifold M is an affine flat manifold locally modeled on (G,ℝm+2), where G = ℝm+2 ⋊ (O(m+1, 1)×ℝ+). M is also a conformally flat Lorentzian manifold because G is isomorphic to the stabilizer of the Lorentzian group PO(m+2, 2) of the Lorentz model S m+1,1. We discuss the properties of compact Lorentzian similarity manifolds using developing maps and holonomy representations.

On conformally flat Lorentz parabolic manifolds

84%

Kamishima Y.

Open Mathematics

2014

tom 12

nr 6

861-878

We introduce conformally flat Fefferman-Lorentz manifold of parabolic type as a special class of Lorentz parabolic manifolds. It is a smooth (2n+2)-manifold locally modeled on (Û(n+1, 1), S 2n+1,1). As the terminology suggests, when a Fefferman-Lorentz manifold M is conformally flat, M is a Fefferman-Lorentz manifold of parabolic type. We shall discuss which compact manifolds occur as a conformally flat Fefferman-Lorentz manifold of parabolic type.

Ograniczanie wyników

2 Open Mathematics

2 Kamishima Y.

1 2014

1 2012

Wyniki wyszukiwania

Lorentzian similarity manifolds

On conformally flat Lorentz parabolic manifolds