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Effacement et déformation

Gérard Rauch (1972)

Annales de l'institut Fourier

Soit $k$ un corps de caractéristique zéro. La variété des algèbres de Lie sur $k$ n’est pas réduite en général. Si $L$ est une algèbre de Lie dimension finie sur $k$ l’application quadratique $S q : H^{2} (L, L) \to H^{3} (L, L)$ se factorise à travers le sous-espace des trois-classes de cohomologie effaçables.

Explicit expression of Cartan’s connection for Levi-nondegenerate 3-manifolds in complex surfaces, and identification of the Heisenberg sphere

Joël Merker, Masoud Sabzevari (2012)

Open Mathematics

We study effectively the Cartan geometry of Levi-nondegenerate C 6-smooth hypersurfaces M 3 in ℂ2. Notably, we present the so-called curvature function of a related Tanaka-type normal connection explicitly in terms of a graphing function for M, which is the initial, single available datum. Vanishing of this curvature function then characterizes explicitly the local biholomorphic equivalence of such M 3 ⊂ ℂ2 to the Heisenberg sphere ℍ3, such M’s being necessarily real analytic.

Displaying 1 – 7 of 7

Effacement et déformation

Explicit expression of Cartan’s connection for Levi-nondegenerate 3-manifolds in complex surfaces, and identification of the Heisenberg sphere

Explicit formulae for cocycles of holomorphic vector fields with values in $λ$ densities.

Extension functors of modular Lie algebras.

Extensions Between Generalized Verma Modules: The Hermitian Symmetric Cases.

Extensions of super Lie algebras.

Extensions of symplectic groupoids and quantization.

Currently displaying 1 – 7 of 7

Displaying 1 – 7 of 7

Effacement et déformation

Explicit expression of Cartan’s connection for Levi-nondegenerate 3-manifolds in complex surfaces, and identification of the Heisenberg sphere

Explicit formulae for cocycles of holomorphic vector fields with values in λ densities.

Extension functors of modular Lie algebras.

Extensions Between Generalized Verma Modules: The Hermitian Symmetric Cases.

Extensions of super Lie algebras.

Extensions of symplectic groupoids and quantization.

Currently displaying 1 – 7 of 7

Explicit formulae for cocycles of holomorphic vector fields with values in $λ$ densities.