Deformations of Mathematical Structures

Inhaltsverzeichnis

• I. Proceedings of the Third Finnish-Polish Summer School in Complex Analysis.
• (Quasi) Conformal Deformation.
• Some elliptic operators in real and complex analysis.
• Embedding of Sobolev spaces into Lipschitz spaces.
• Quasiregular mappings from ? n to closed orientable n-manifolds.
• Some upper bounds for the spherical derivative.
• On the connection between the Nevanlinna characteristics of an entire function and of its derivative.
• Foliations.
• Characteristic homomorphism for transversely holomorphic foliations via the Cauchy-Riemann equations.
• Complex premanifolds and foliations.
• Geometric Algebra.
• Mo? bius transformations and Clifford algebras of euclidean and anti-euclidean spaces.
• II. Complex Analytic Geometry.
• Uniformization.
• Doubles of atoroidal manifolds, their conformal uniformization and deformations.
• Hyperbolic Riemann surfaces with the trivial group of automorphisms.
• Algebraic Geometry.
• On the Hilbert scheme of curves in a smooth quadric.
• A contribution to Keller’s Jacobian conjecture II.
• Local properties of intersection multiplicity.
• Generalized Padé approximants of Kakehashi’s type and meromorphic continuation of functions.
• Several Complex Variables.
• Three remarks about the Caratheodory distance.
• On the convexity of the Kobayashi indicatrix.
• Boundary regularity of the solution of the ??-equation in the polydisc.
• Holomorphic chains and extendability of holomorphic mappings.
• Remarks on the versal families of deformations of holomorphic and transversely holomorphic foliations.
• Hurwitz Pairs.
• Hurwitz pairs and octonions.
• Hermitian pre-Hurwitz pairs and the Minkowski space.
• III. Real Analytic Geometry.
• Morphisms of Klein surfaces and Stoilow’s topological theory of analytic functions.
• Generalizedgradients and asymptotics of the functional trace.
• Holomorphic quasiconformal mappings in infinite-dimensional spaces.
• Product singularities and quotients of linear groups.
• Approximation and extension of C? functions defined on compact subsets of ? n.
• Potential Theory.
• New existence theorems and evaluation formulas for analytic Feynman integrals.
• On the construction of potential vectors and generalized potential vectors depending on time by a contraction principle.
• Symbolic calculus applied to convex functions and associated diffusions.
• Lagrangian for the so-called non-potential system: the case of magnetic monopoles.
• Hermitian Geometry.
• Examples of deformations of almost hermitian structures.