Results 61 to 70 of about 32,301 (195)
HYPERKÄHLER STRUCTURES WITH TORSION ON NILPOTENT LIE GROUPS [PDF]
Glasgow Mathematical Journal, 2003 Let \((M, g, I, J, K)\) be a hyper-Hermitian manifold. The manifold \(M\) (or equivalently, the metric \(g\)) is called hyper-Kähler with torsion (HKT) if \(\nabla g = \nabla I = \nabla J = \nabla K = 0\) and the torsion tensor \(c (X, Y, Z) = g (T (X, Y), Z)\) is totally skew, where \(\nabla\) is the Levi-Cività connection and \(T\) is the torsion of \
Feix, Birte, Pedersen, Henrik
openaire +2 more sources
Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
Exceptional families of measures on Carnot groups
Analysis and Geometry in Metric Spaces, 2023 We study the families of measures on Carnot groups that have vanishing pp-module, which we call Mp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to ...
Franchi Bruno, Markina Irina
doaj +1 more source
Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups
, 2010 In this work we investigate solvable and nilpotent Lie groups with special metrics. The metrics of interest are left-invariant Einstein and algebraic Ricci soliton metrics.
Alekseevskiĭ +15 more
core +1 more source
An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
Quiver theories and Hilbert series of classical Slodowy intersections
Nuclear Physics B, 2020 We build on previous studies of the Higgs and Coulomb branches of SUSY quiver theories having 8 supercharges, including 3dN=4, and Classical gauge groups. The vacuum moduli spaces of many such theories can be parameterised by pairs of nilpotent orbits of
Amihay Hanany, Rudolph Kalveks
doaj +1 more source
Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka +2 more
wiley +1 more source
Intrinsic regular surfaces in Carnot groups
Bruno Pini Mathematical Analysis SeminarA Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces.
Daniela Di Donato
doaj +1 more source
Hypoelliptic Heat Kernels on Nilpotent Lie Groups
Potential Analysis, 2016 The starting point of our analysis is an old idea of writing an eigenfunction expansion for a heat kernel considered in the case of a hypoelliptic heat kernel on a nilpotent Lie group $G$. One of the ingredients of this approach is the generalized Fourier transform. The formula one gets using this approach is explicit as long as we can find all unitary
Asaad, Malva, Gordina, Maria
openaire +2 more sources
Which singular tangent bundles are isomorphic?
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley +1 more source