Author: Victor Guillemin
Publisher: Princeton University Press
Keywords: deformations, models, cyclic, dimensions, cosmology
Number of Pages: 240
Published: 1989-03-01
List price: $57.50
ISBN-10: 0691085145
ISBN-13: 9780691085142

The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic? A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book is concerned with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects). It also has a section describing conformal invariants of these objects, the most interesting being the determinant of a two dimensional "Floque

Author: R. W. Ogden
Publisher: Dover Publications
Keywords: deformations, elastic, linear, non
Number of Pages: 544
Published: 1997-07-07
List price: $23.95
ISBN-10: 0486696480
ISBN-13: 9780486696485

Meticulous, precise account of the theory of finite elasticity covers the application of the theory to the solution of boundary-value problems, and to the analysis of the mechanical properties of solid materials capable of large elastic deformations. Setting is purely isothermal. Widely regarded as a classic in the field. Problems. References. Appendixes. 544p.

Author: Jan Stevens
Publisher: Springer
Keywords: mathematics, notes, lecture, singularities, deformations
Number of Pages: 157
Published: 2003-04-28
List price: $44.95
ISBN-10: 3540005609
ISBN-13: 9783540005605

These notes deal with deformation theory of complex analytic singularities and related objects. The first part treats general theory. The central notion is that of versal deformationin several variants. The theory is developed both in an abstract way and in a concrete way suitable for computations. The second part deals with more specific problems, specially on curves and surfaces. Smoothings of singularities are the main concern. Examples are spread throughout the text.

Author: Lanzano
Publisher: Academic Press
Keywords: geophysics, international, earth, elastic, deformations
Number of Pages: 226
Published: 1982-02-11
List price: $81.00
ISBN-10: 0124366201
ISBN-13: 9780124366206

Author: Claude Sabbah
Publisher: Springer
Keywords: introduction, universitext, manifolds, frobenius, deformations, isomonodromic
Number of Pages: 279
Published: 2007-12-19
List price: $59.95
ISBN-10: 1848000537
ISBN-13: 9781848000537

The notion of a Frobenius structure on a complex analytic manifold appeared at the end of the seventies in the theory of singularities of holomorphic functions. Motivated by physical considerations, further development of the theory has opened new perspectives on, and revealed new links between, many apparently unrelated areas of mathematics and physics. Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations. Starting from basic notions in complex algebraic geometry, it develops some of th

Authors:D. Iesan, Antonio Scalia,
Publisher: Springer
Keywords: applications, mechanics, solid, deformations, thermoelastic
Number of Pages: 320
Published: 1996-09-30
List price: $240.00
ISBN-10: 0792342305
ISBN-13: 9780792342304

This volume is concerned mainly with basic problems of the theory of thermoelasticity. Beginning with the basic laws of thermomechanics, there follows a treatment of the theory of thermoelasticity for bodies with initial stress and initial heat flux. Subsequent chapters cover the analysis of linear thermoelastodynamics and equilibrium theory. The authors conclude with a study of nonlinear thermoelasticity. On the whole, the subject matter is directed towards recent developments. The theory of thermoelasticity is of considerable interest both from the mathematical and the technical po

Author: Edoardo Sernesi
Publisher: Springer
Keywords: mathematischen, wissenschaften, der, grundlehren, algebraic, schemes, deformations
Number of Pages: 353
Published: 2006-08-21
List price: $119.00
ISBN-10: 3540306080
ISBN-13: 9783540306085

This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry.