Cohomogeneity one Minkowski space \R^n_1

• Autores: P. Ahmadi, S. M. B. Kashani
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 1, 2011, pág. 4
• Idioma: inglés
• DOI: 10.5486/pmd.2011.4392
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• Resumen

  • In this paper we study cohomogeneity one Minkowski space Rn 1 . Among other results, we prove that the orbit space is homeomorphic to R or [0;1). We show that if there is a spacelike principal orbit, then each of the orbits is spacelike and principal.

    If n = 3 and there is a singular orbit, we characterize the orbits up to isometry, and the acting group up to conjugacy.