Signatures of Roots and a New Characterization of Causal Symmetric Spaces

1996 ◽  
pp. 213-229
Author(s):  
Soji Kaneyuki
Keyword(s):  
Symmetric Spaces

scholarly journals A Characterization of Higher Rank Symmetric Spaces Via Bounded Cohomology

2009 ◽  
Vol 19 (1) ◽  
pp. 11-40 ◽  
Author(s):  
Mladen Bestvina ◽  
Koji Fujiwara
Keyword(s):  
Symmetric Spaces ◽  
Bounded Cohomology ◽  
Higher Rank

Characterization of Dini–Lipschitz functions for the Helgason Fourier transform on rank one symmetric spaces

2016 ◽  
Vol 7 (4) ◽  
Author(s):  
Salah El Ouadih ◽  
Radouan Daher
Keyword(s):  
Fourier Transform ◽  
Symmetric Spaces ◽  
Translation Operator ◽  
Lipschitz Functions ◽  
Generalized Translation Operator ◽  
Generalized Translation ◽  
Rank One

AbstractIn this paper, using a generalized translation operator, we obtain an analog of Younis’ theorem, [

scholarly journals Homotopy of compact symmetric spaces

1992 ◽  
Vol 34 (2) ◽  
pp. 221-228 ◽  
Author(s):  
John M. Burns
Keyword(s):  
Symmetric Spaces ◽  
Unified Approach ◽  
Topological Characterization ◽  
New Approach ◽  
Totally Geodesic ◽  
Compact Symmetric Space ◽  
Geodesic Submanifolds ◽  
Totally Geodesic Submanifolds ◽  
Compact Symmetric Spaces

In recent years a new approach to the study of compact symmetric spaces has been taken by Nagano and Chen [10]. This approach assigned to each pair of antipodal points on a closed geodesic a pair of totally geodesic submanifolds. In this paper we will show how these totally geodesic submanifolds can be used in conjunction with a theorem of Bott to compute homotopy in compact symmetric spaces. Some of the results are already known (see [1], [5], [11] for example) but we include them here for completeness and to illustrate this unified approach. We also exhibit a connection between the second homotopy group of a compact symmetric space and the multiplicity of the highest root. Using this in conjunction with a theorem of J. H. Cheng [6] we obtain a topological characterization of quaternionic symmetric spaces with antiquaternionic involutive isometry. The author would like to thank Prof T. Nagano for all his help and his detailed descriptions of the totally geodesic submanifolds mentioned above.

scholarly journals Characterization of Hermitian symmetric spaces by fundamental forms

2003 ◽  
Vol 120 (3) ◽  
pp. 621-634 ◽  
Author(s):  
Keizo Yamaguchi ◽  
Jun-Muk Hwang
Keyword(s):  
Symmetric Spaces ◽  
Hermitian Symmetric Spaces
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