Meromorphic Almost Rigid Geometric Structures
نویسنده
چکیده
We study the local Killing Lie algebra of meromorphic almost rigid geometric structures on complex manifolds. This leads to classification results for compact complex manifolds bearing holomorphic rigid geometric structures.
منابع مشابه
Nonexistence of Invariant Rigid Structures and Invariant Almost Rigid Structures
We prove that certain volume preserving actions of Lie groups and their lattices do not preserve rigid geometric structures in the sense of Gromov. The actions considered are the ”exotic” examples obtained by Katok and Lewis and the first author, by blowing up closed orbits in the well known actions on homogeneous spaces. The actions on homogeneous spaces all preserve affine connections, wherea...
متن کاملSingular Moduli for Real Quadratic Fields: a Rigid Analytic Approach
A rigid meromorphic cocycle is a class in the first cohomology of the discrete group Γ := SL2(Z[1/p]) with values in the multiplicative group of non-zero rigid meromorphic functions on the p-adic upper half planeHp := P1(Cp)−P1(Qp). Such a class can be evaluated at the real quadratic irrationalities in Hp, which are referred to as “RM points”. The RM values of arbitrary rigid meromorphic cocycl...
متن کاملDecision problems in Algebra and analogues of Hilbert’s tenth problem
Contents: 1. Part A: Decidability results 1a. Presburger arithmetic 1b. Addition and divisibility 1c. Addition and exponentiation 1d. The analogue of Hilbert's tenth problem for algebraic groups 1e. The results of Ax for 'almost all primes' 1f. Model-completeness 1g. Complete theories 1h. Power-series and germs of analytic functions: existential decidability and Artin approximation 1i. Positive...
متن کاملRigid and finite type geometric structures
Rigid geometric structures on manifolds, introduced by Gromov, are characterized by the fact that their infinitesimal automorphisms are determined by their jets of a fixed order. Important examples of such structures are those given by an H-reduction of the first order frame bundle of a manifold, where the Lie algebra of H is of finite type; in fact, for structures given by reductions to closed...
متن کاملNonlinear inelastic dynamic analysis of space steel frames with semi-rigid connections in urban buildings
Applied studies addressing semi-rigid connections have been limited. Scant information exists in regulations except little brief information. Therefore, this research analyzes the behavior of three-dimensional steel frames and semi-rigid connections based on beam-column method and non-linear dynamic analysis. Stability functions and geometric stiffness matrix were used to study the non-linear g...
متن کامل