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On the structure of pseudoRiemannian symmetric spaces
, 408
"... Following our approach to metric Lie algebras developed in a previous paper we propose a way of understanding pseudoRiemannian symmetric spaces which are not semisimple. We introduce cohomology sets (called quadratic cohomology) associated with orthogonal modules of Lie algebras with involution. T ..."
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Cited by 17 (3 self)
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Following our approach to metric Lie algebras developed in a previous paper we propose a way of understanding pseudoRiemannian symmetric spaces which are not semisimple. We introduce cohomology sets (called quadratic cohomology) associated with orthogonal modules of Lie algebras with involution
Distribution calibration in Riemannian symmetric space
 IEEE Trans. Syst., Man, Cybern. B, Cybern
, 2011
"... Abstract—Distribution calibration plays an important role in crossdomain learning. However, existing distribution distance metrics are not geodesic; therefore, they cannot measure the intrinsic distance between two distributions. In this paper, we calibrate two distributions by using the geodesic d ..."
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Cited by 1 (0 self)
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distance in Riemannian symmetric space. Our method learns a latent subspace in the reproducing kernel Hilbert space, where the geodesic distance between the distribution of the source and the target domains is minimized. The corresponding geodesic distance is thus equivalent to the geodesic distance
Totally geodesic submanifolds in Riemannian symmetric spaces
, 2008
"... In the first part of this expository article, the most important constructions and classification results concerning totally geodesic submanifolds in Riemannian symmetric spaces are summarized. In the second part, I describe the results of my classification of the totally geodesic submanifolds in th ..."
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Cited by 2 (0 self)
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In the first part of this expository article, the most important constructions and classification results concerning totally geodesic submanifolds in Riemannian symmetric spaces are summarized. In the second part, I describe the results of my classification of the totally geodesic submanifolds
Braided spaces with dilations and subriemannian symmetric spaces
 In Geometry, Exploratory Workshop on Differential Geometry and Its Applications; Andrica, D., Moroianu, S., Eds.; Cluj Univ. Press: ClujNapoca
, 2011
"... This version: 27.05.2010 Braided sets which are also spaces with dilations are presented and explored in this paper, in the general frame of emergent algebras. Examples of such spaces are the subriemannian symmetric spaces. ..."
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Cited by 13 (11 self)
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This version: 27.05.2010 Braided sets which are also spaces with dilations are presented and explored in this paper, in the general frame of emergent algebras. Examples of such spaces are the subriemannian symmetric spaces.
Symmetric Submanifolds of Riemannian Symmetric Spaces
, 2000
"... A symmetric space is a Riemannian manifold that is “symmetric ” about each of its points: for each p ∈ M there is an isometry σp of M such that (σp) ∗ = −I on TpM. Symmetric spaces and their local versions were studied and classified by E.Cartan in the 1920’s. In 1980 D.Ferus [F2] introduced the co ..."
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A symmetric space is a Riemannian manifold that is “symmetric ” about each of its points: for each p ∈ M there is an isometry σp of M such that (σp) ∗ = −I on TpM. Symmetric spaces and their local versions were studied and classified by E.Cartan in the 1920’s. In 1980 D.Ferus [F2] introduced
Rawnsley: Twistor spaces for Riemannian symmetric spaces
, 1993
"... Abstract. We determine the structure of the zeroset of the Nijenhuis tensor of the natural almost complex structure J1 on the total space of the bundle J(G/K, g) of Hermitian structures on the tangent spaces of any evendimensional Riemannian symmetric space G/K of compact or noncompact type. 1. ..."
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Cited by 3 (0 self)
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Abstract. We determine the structure of the zeroset of the Nijenhuis tensor of the natural almost complex structure J1 on the total space of the bundle J(G/K, g) of Hermitian structures on the tangent spaces of any evendimensional Riemannian symmetric space G/K of compact or noncompact type. 1.
Basic Harmonic Analysis On PseudoRiemannian Symmetric Spaces
, 1994
"... We give a survey of the present knowledge regarding basic questions in harmonic analysis on pseudoRiemannian symmetric spaces G/H, where G is a semisimple Lie group: The definition of the Fourier transform, the Plancherel formula, the inversion formula and the PaleyWiener theorem. ..."
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Cited by 8 (5 self)
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We give a survey of the present knowledge regarding basic questions in harmonic analysis on pseudoRiemannian symmetric spaces G/H, where G is a semisimple Lie group: The definition of the Fourier transform, the Plancherel formula, the inversion formula and the PaleyWiener theorem.
Invariant Domains in the Complexification of a NonCompact Riemannian Symmetric Space
"... Invariant domains in the complexification of a noncompact Riemannian symmetric space ..."
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Cited by 5 (3 self)
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Invariant domains in the complexification of a noncompact Riemannian symmetric space
Results 1  10
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12,177