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The moment maps are obtained using the fact that the closed two-forms came from characteristic classes of an invariant connection, and the moment maps came from the
Key words: Cartan geometry; symmetric spaces; general relativity; Chern–Simons theory; topologically massive gravity; MacDowell–Mansouri gravity.. 2000 Mathematics
The aim of the following section is to characterize conformal structures arising from generic rank 2 distributions in dimension five in terms of normal conformal Killing
Key words: homogeneous spaces, weakly symmetric spaces, homogeneous spaces of posi- tive Euler characteristic, geodesic orbit spaces, normal homogeneous Riemannian
The purpose of this paper is to establish the most general formal setting for reformulating, whenever possible, basic properties of groups in terms of vector spaces,
In Section 6 we introduce the T and Y-systems associated with a class of cluster algebras, which include the restricted T and Y-systems of simply laced type as special cases..
First, the characteristic polynomials of Manin matrices are key objects to obtain the commutative family of the (elliptic) gl n Gaudin model by the degeneration. Then the Manin
In the particular case when the Lie algebroid is the tangent bundle of a symplectic manifold, our reduction procedure is just the well known Cartan symplectic reduction in the
