Proper SL(2, ℝ)-actions on homogeneous spaces-Reference-Cited by-同舟云学术

Proper SL(2, ℝ)-actions on homogeneous spaces

Published:2016-12 Issue:13 Volume:27 Page:1650106
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Bocheński Maciej¹,Jastrzębski Piotr¹,Okuda Takayuki²,Tralle Aleksy¹

Affiliation:

1. Department of Mathematics and Computer Science, University of Warmia and Mazury, Słoneczna 54, 10-710, Olsztyn, Poland

2. Department of Mathematics, Hiroshima University, 1-3-1 Kagamiyama, Higashihiroshima 739-8526, Japan

Abstract

We study the existence problem of proper actions of [Formula: see text] on homogeneous spaces [Formula: see text] of reductive type. Based on Kobayashi’s properness criterion [T. Kobayashi, Proper action on a homogeneous space of reductive type, Math. Ann. 285 (1989) 249–263.], we show that [Formula: see text] admits a proper [Formula: see text]-action via [Formula: see text] if a maximally split abelian subspace of Lie [Formula: see text] is included in the wall defined by a restricted root of Lie [Formula: see text]. We also give a number of examples of such [Formula: see text].

Funder

JSPS KAKENHI

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X16501068

Reference21 articles.

1. Actions Propres sur les Espaces Homogenes Reductifs

2. Clifford–Klein Forms and a-Hyperbolic Rank

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