Differential and Riemannian geometry

This book is an exposition of the algebra and calculus of differentialforms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to aformulation of important concepts of differential geometry indispensable for anin-depth understanding of space-time physics.

This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems.

Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric behaviors, far from classical Riemannian techniques.

?

This book explains the foundations of holomorphic curve theory in contact geometry.

This book provides a brief introduction to the theory of finitedimensional differential inclusions, and deals in depth with control of threekinds of differential inclusion systems.

Lie Sphere Geometry provides a modern treatment of Lie's geometry of spheres, its recent applications and the study of Euclidean space.

No detailed description available for "e;The Riemann Zeta-Function"e;.

This workshop brought together specialists in complex analysis, differential geometry, mathematical physics and applications for stimulating cross-disciplinary discussions.

This book provides an introduction to geometric invariant theory from a differential geometric viewpoint.

This book presents a differential geometric method for designing nonlinear observers for multiple types of nonlinear systems, including single and multiple outputs, fully and partially observable systems, and regular and singular dynamical systems.

The Symposium on the Current State and Prospects ofMathematics was held in Barcelona from June 13 to June 18,1991.

This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems.

This proceedings contains a collection of selected, peer-reviewed contributions from the 4th International Workshop "e;Differential Geometric Structures and Applications"e; held in Haifa, Israel from May 10-13, 2023.

The main aim of this book is to introduce Lie groups and allied algebraic and geometric concepts to a robotics audience.

Developing and providing an overview of recent results on nearly Kahler geometry on pseudo-Riemannian manifolds, this monograph emphasizes the differences with the classical Riemannian geometry setting.

This monograph presents recent developments in comparison geometry and geometric analysis on Finsler manifolds.

This volume explores the interplay between mathematical and physical research and the interactions of twentieth-century scientists within their academic communities.

This monograph meticulously examines the contributions of French mathematician Michel Chasles to 19th-century geometry.

Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets.

Dirac operators play an important role in several domains of mathematics and physics, for example: index theory, elliptic pseudodifferential operators, electromagnetism, particle physics, and the representation theory of Lie groups.

A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of earlier works of Sugawara's homotopy characterization of H-spaces and loop spaces.

The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry.

Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.

This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three.

The differential equations which model the action of selection and recombination are nonlinear equations which are impossible to It is even difficult to describe in general the solve explicitly.

This book develops the thesis that structure and function in a variety of condensed systems - from the atomic assemblies in inorganic frameworks and organic molecules, through molecular self-assemblies to proteins - can be unified when curvature and surface geometry are taken together with molecular shape and forces.

Over the course of his distinguished career, Claude Viterbo has made a number of groundbreaking contributions in the development of symplectic geometry/topology and Hamiltonian dynamics.

This volume is a compilation of new results and surveys on the current state of some aspects of the foliation theory presented during the conference "e;FOLIATIONS 2012"e;.

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics.

This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems.

This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM).

L'opera fornisce una introduzione alla geometria delle varietà differenziabili, illustrandone le principali proprietà e descrivendo le principali tecniche e i più importanti strumenti usati per il loro studio.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

This book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of Kontsevich and Cattaneo & Felder.

Geometric flows have many applications in physics and geometry.

The geometrical methods in modem mathematical physics and the developments in Geometry and Global Analysis motivated by physical problems are being intensively worked out in contemporary mathematics.

The emergence of topological quantum ?

The main topics covered in this volume are global differential geometry and its application to physics.

The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stephane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frederic Faure and Masato Tsujii).

These original research papers, written during a period of over a quarter of a century, have two main objectives.

This 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics.

This book provides an introduction to topology, differential topology, and differential geometry.

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry.