Deformations of Mathematical Structures: Complex Analysis with Physical Applications

✍ Scribed by Grzegorz Andrzejczak (auth.), Julian Ławrynowicz (eds.)

• Publisher: Springer Netherlands
• Year: 1989
• Tongue: English
• Leaves: 346
• Edition: 1
• Category: Library

✦ Synopsis

Overview: These Proceedings contain selected papers by the speakers invited to the Seminar on Deformations, organized in 1985/87 by Julian Lawrynowicz, whose most fruitful parts took place in 1986 in Lublin during the 3rd Finnish-Polish Summer School in Complex Analysis; and held simultaneously with the 9th Conference on Analytic Function in Poland. The Lublin session of the Seminar, organized jointly with S. Dimiev and K. Spallek, was preceded by a session organized by them at Druzhba in 1985 and followed by a similar session at Druzhba in 1987.

✦ Table of Contents

Front Matter....Pages i-xi
Front Matter....Pages 1-1
Characteristic Homomorphism for Transversely Holomorphic Foliations Via the Cauchy-Riemann Equations....Pages 55-63
Complex Premanifolds and Foliations....Pages 65-78
Some Differential Operators in Real and Complex Geometry....Pages 3-28
Embedding of Sobolev Spaces into Lipschitz Spaces....Pages 29-32
Quasiregular Mappings from R n to Closed Orientable n-Manifolds....Pages 33-44
Some Upper Bounds for the Spherical Derivative....Pages 45-49
On the Connection between the Nevanlinna Characteristics of an Entire Function and of its Derivative....Pages 51-53
Möbius Tramsformations and Clifford Algebras of Euclidean and Anti-Euclidean Spaces....Pages 79-90
Front Matter....Pages 91-91
Doubles of Atoroidal Manifolds, Their Conformal Uniformization and Deformations....Pages 93-114
Hyperbolic Riemann Surfaces with the Trivial Group of Automorphisms....Pages 115-125
On the Hilbert Scheme of Curves in a Smooth Quadric....Pages 127-132
A Contribution to Keller’s Jacobian Conjecture II....Pages 133-140
Local Properties of Intersection....Pages 141-150
Generalized Padé Approximants of Kakehashi’s Type and Meromorphic Continuation of Functions....Pages 151-159
Three Remarks about the Carathéodory Distance....Pages 161-170
On the Convexity of the Kobayashi Indicatrix....Pages 171-176
Boundary Regularity of the Solution of the ∂̅-Equation in the Polydisc....Pages 177-189
Holomorphic Chains and Extendability of Holomorphic Mappings....Pages 191-204
Remarks on the Versal Families of Deformations of Holomorphic and Transversely Holomorphic Foliations....Pages 205-213
Hurwitz Pairs and Octonions....Pages 215-223
Front Matter....Pages 91-91
Hermitian Pre-Hurwitz Pairs and the Minkowski Space....Pages 225-232
Front Matter....Pages 233-233
Morphisms of Klein Surfaces and Stoilow’s Topological Theory of Analytic Functions....Pages 235-246
Generalized Gradients and Asymptotics of the Functional Trace....Pages 247-262
Holomorphic Quasiconformal Mappings in Infinite-Dimenstional Spaces....Pages 263-270
New Existence Theorems and Evaluation Formulas for Analytic Feynman Integrals....Pages 297-308
On the Construction of Potential Vectors and Generalized Potential Vectors Depending on Time by a Contraction Principle....Pages 309-317
Symbolic Calculus Applied to Convex Functions and Associated Diffusions....Pages 319-329
Lagrangian for the So-Called Non-Potential Systems: The Case of Magnetic Monopoles....Pages 331-337
Examples of Deformations of Almost Hermitian Structures....Pages 339-348
Product Singularities and Quotients of Linear Groups....Pages 271-282
Approximation and Extension of C ∞ Functions Defined on Compact Subsets of ℂ n ....Pages 283-295
Back Matter....Pages 349-352

✦ Subjects

Analysis; Geometry; Theoretical, Mathematical and Computational Physics; Algebraic Geometry