scholarly journals A compactness theorem for locally homogeneous spaces

2021 ◽  
pp. 14
Author(s):  
Francesco Pediconi
Keyword(s):  
Homogeneous Spaces ◽  
Compactness Theorem ◽  
Locally Homogeneous

scholarly journals Local real analysis in locally homogeneous spaces

2011 ◽  
Vol 138 (3-4) ◽  
pp. 477-528 ◽  
Author(s):  
Marco Bramanti ◽  
Maochun Zhu
Keyword(s):  
Homogeneous Spaces ◽  
Real Analysis ◽  
Locally Homogeneous

scholarly journals A classification of Riemannian 3-manifolds with constant principal ricci curvaturesρ1= ρ2≠ ρ3

1993 ◽  
Vol 132 ◽  
pp. 1-36 ◽  
Author(s):  
Oldřich Kowalski
Keyword(s):  
Differential Geometry ◽  
Homogeneous Spaces ◽  
Space Forms ◽  
Isoparametric Hypersurfaces ◽  
Main Motivation ◽  
Locally Homogeneous ◽  
Riemannian Spaces

This paper has been motivated by various problems and results in differential geometry. The main motivation is the study of curvature homogeneous Riemannian spaces initiated in 1960 by I.M. Singer (see Section 9—Appendix for the precise definitions and references). Up to recently, only sporadic classes of examples have been known of curvature homogeneous spaces which are not locally homogeneous. For instance, isoparametric hypersurfaces in space forms give nice examples of nontrivial curvature homogeneous spaces (see [FKM]). To study the topography of curvature homogeneous spaces more systematically, it is natural to start with the dimension n = 3. The following results and problems have been particularly inspiring.

scholarly journals Joinings of higher-rank diagonalizable actions on locally homogeneous spaces

2007 ◽  
Vol 138 (2) ◽  
pp. 203-232 ◽  
Author(s):  
Manfred Einsiedler ◽  
Elon Lindenstrauss
Keyword(s):  
Homogeneous Spaces ◽  
Higher Rank ◽  
Locally Homogeneous
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