Lorentzian similarity manifolds

• Autorzy: Yoshinobu Kamishima
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Lorentzian similarity structure; Conformally flat Lorentzian structure; Uniformization; Holonomy group; Developing map

Kategorie tematyczne

• 51M10: Hyperbolic and elliptic geometries (general) and generalizations
• 57S25: Groups acting on specific manifolds
• 53C55: Hermitian and K\"ahlerian manifolds

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 5
• Strony: 1771-1788

Daty

wydano

2012-10-01

online

2012-07-24

Twórcy

autor

Yoshinobu Kamishima

• Tokyo Metropolitan University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0076-9