20 citations · 96 across the 24 of their papers we have counts for
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Exceptionally simple super-PDE for
Andrea Santi, Dennis The
For the largest exceptional simple Lie superalgebra , having dimension , we provide two explicit geometric realizations as supersymmetries, namely as the symmetry su…
Symmetries of supergeometries related to nonholonomic superdistributions
Boris Kruglikov, Andrea Santi, Dennis The
We extend Tanaka theory to the context of supergeometry and obtain an upper bound on the supersymmetry dimension of geometric structures related to strongly regular bracket-generat…
G(3)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation
Boris Kruglikov, Andrea Santi, Dennis The
We realize the simple Lie superalgebra G(3) as supersymmetry of various geometric structures, most importantly super-versions of the Hilbert-Cartan equation (SHC) and Cartan's invo…
Homogeneous symplectic 4-manifolds and finite dimensional Lie algebras of symplectic vector fields on the symplectic 4-space
D. Alekseevsky, A. Santi
We classify the finite type (in the sense of E. Cartan theory of prolongations) subalgebras , where is the symplectic 4-dimensional space,…
Sasakian manifolds and M-theory
José Figueroa-O'Farrill, Andrea Santi
We extend the link between Einstein Sasakian manifolds and Killing spinors to a class of -Einstein Sasakian manifolds, both in Riemannian and Lorentzian settings, characterising…
Homogeneous models for Levi-degenerate CR manifolds
Andrea Santi
We extend the notion of a fundamental negatively -graded Lie algebra associated to any point of a Levi nondegenerat…
Almost CR quaternionic manifolds and their immersibility in HP^n
Andrea Santi
We apply the general theory of codimension one integrability conditions for -structures developed in arXiv:1306.6817v3 [math.DG] to the case of quaternionic CR geometry. We obta…
A generalized integrability problem for G-Structures
Andrea Santi
Given an -dimensional manifold equipped with a -structure , there is a naturally induce…
Tanaka structures modeled on extended Poincaré algebras
Andrea Altomani, Andrea Santi
Let (V,(.,.)) be a pseudo-Euclidean vector space and S an irreducible Cl(V)-module. An extended translation algebra is a graded Lie algebra m = m_{-2}+m_{-1} = V+S with bracket giv…
Superization of Homogeneous Spin Manifolds and Geometry of Homogeneous Supermanifolds
Andrea Santi
Let M_0=G_0/H be a (pseudo)-Riemannian homogeneous spin manifold, with reductive decomposition g_0=h+m and let S(M_0) be the spin bundle defined by the spin representation Ad:H->\G…