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What do radially symmetric functions on a Riemannian symmetric space look like?

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#riemannian-geometry #geodesic #symmetric-spaces
74
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Which groups $H$ act transitively on a noncompact symmetric space $G/K$?

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#lie-groups #lie-algebras #homogeneous-spaces #symmetric-spaces
55
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If $H$ acts transitively on $G/K$, does it contain a copy of $AN$?

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#lie-groups #lie-algebras #homogeneous-spaces #symmetric-spaces
337
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What are the simply-connected non-compact irreducible symmetric spaces?

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#lie-groups #symmetric-spaces
73
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references for the quotient of a product of hyperbolic 2- and 3- spaces by $SL_2$ over a number ring

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#number-theory #reference-request #hyperbolic-geometry #symmetric-spaces
395
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Parameterization Of Grassmannian

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#lie-groups #lie-algebras #grassmannian #symmetric-spaces
241
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Ricci flat symmetric spaces are flat?

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#riemannian-geometry #curvature #symmetric-spaces
311
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Relationship between distances on homogeneous spaces and their Lie groups

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#differential-geometry #lie-groups #homogeneous-spaces #symmetric-spaces
284
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Isometry group of Riemannian symmetric spaces and Lie groups

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#differential-geometry #lie-groups #riemannian-geometry #lie-algebras #symmetric-spaces
123
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Dominant Weyl chamber and co-adjoint orbit for Riemann symmetric pair

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#lie-groups #lie-algebras #root-systems #reductive-groups #symmetric-spaces
335
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Is the homology of the based loop space of a compact globally symmetric space a polynomial ring?

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#algebraic-topology #lie-groups #loop-spaces #symmetric-spaces
124
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Rank of locally symmetric spaces in terms of flat immersions

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#riemannian-geometry #submanifold #symmetric-spaces
435
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Isometry group of $3$-sphere

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#lie-groups #riemannian-geometry #spheres #homogeneous-spaces #symmetric-spaces
765
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Locally symmetric spaces have parallel Riemannian curvature

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#differential-geometry #riemannian-geometry #curvature #connections #symmetric-spaces
69
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Why is the bilinear form $B_{\theta}$ (defined via Killing form) positive definite?

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#proof-explanation #lie-algebras #semisimple-lie-algebras #symmetric-spaces

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