These Proceedings contain selected papers by the speakers invited to the Seminar on Deformations, organized in 1985/87 by Julian tawryno- wicz (t6dz), whose most fruitful parts took place in 1986 in Lublin during the 3rd Finnish-Polish Summer School in Complex Analysis [in cooperation with O. Martio (JyvliskyHl)] held simultaneously with the 9th Conference on Analytic Function in Poland [in cooperation with S. Dimiev (Sofia), P. Dolbeault (Paris), K. Spallek (Bochum), and E. Vesen- tini (Pisa)]. The Lublin session of the Seminar, organized jointly with S. Dimiev and K. Spallek, was preceded by a session organized by them at Druzhba (near Varna) in 1985 and followed by a similar session at Druzhba in 1987. The collection contains 31 papers connected with deformations of mathematical structures in the context of complex analysis with physi- cal applications: (quasi)conformal deformation uniformization, potential theory, several complex variables, geometric algebra, algebraic ge- ometry, foliations, Hurwitz pairs, and Hermitian geometry. They are research papers in final form: no version of them will be submitted for publication elsewhere.
In contrast to the previous volume (Seminar on Deformations, Proceedings, L6dz-WarsaUJ 1982/84, ed. by J. -i:.awrynowicz, Lecture Notes in Math. 1165, Springer, Berlin-Heidelberg- -New York-Tokyo 1985, X + 331 pp.) open problems are not published as separate research notes, but are included in the papers.
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 241 mm
Breite: 160 mm
Dicke: 25 mm
Gewicht
ISBN-13
978-0-7923-0023-6 (9780792300236)
DOI
10.1007/978-94-009-2643-1
Schweitzer Klassifikation
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.- (Quasi) Conformal Deformation.- 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.- Algebraic Geometry.- 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.
