Spaces of Constant Curvature

By J. Wolf. 2010

1,085 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/2c552826cf2130f8e2d7dd11f5b357e0cf28e969

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In Geometry and Topology

Citations in the corpus

Integrality of $L^2$-Betti numbers (2000, neutral): “8 of [29]).”
Polar actions on symmetric spaces (2005, background): “up ∆i is trivial if Mi is noncompact, and is ﬁnite if Mi is compact. In particular, the discrete subgroups of ∆ are just the subgroups Γ ⊆ ∆ with discrete projection on the vector group V. Proof. See [48], Ch. 8, Sec. 3. Totally geodesic submanifolds of symmetric spaces correspond to Lie triple syst”
Finsler spaces whose geodesics are orbits (2014, background): “CW-homogeneous Riemannian manifolds have been studied by Wolf and many other researchers; see for example [41–43].”
Willmore two-spheres in the four-sphere (2000, background): “is the indenite complex projective space (see [ Wo ], p. 378), dened as the space of spacelike complex lines in the metric complex vector space C6 1. The rst equality”
Classification of generalized Wallach spaces (2014, methodology): “rst assertion we get immediately from Theorem 2. Let us prove the second assertion. We have to check all pairs from Table 2, using Lemma 6. For a list of irreducible symmetric pairs see e. g. [10] or [26]. Let us consider line 1. It is easy to see that the pairs (˜k1,˜h1) and (˜k2,˜h2) are irreducib”
Isometry groups of homogeneous spaces with positive sectional curvature (2001, background): “The isometry group of a symmetric space is well known and has been computed (see for instance [19]), so we won’t repeat this here.”
Maximally homogeneous para-CR manifolds of semisimple type (2006, neutral): “The following observation is due to Wolf [106] (for transitive groups), see also [34] for the general case:”
Time optimal control in spin systems (2000, methodology): “If h is a subalgebra of g contained in m, then h is abelian because [m, m] ∈ g. It is well known [ 3 ] that:”
Introduction to Shimura Varieties (2004, neutral): “See Wolf 1984, 2.3.12.”