Differential and Riemannian geometry

Foliations, groups and pseudogroups are objects which are closely related via the notion of holonomy.

Boundary problems constitute an essential field of common mathematical interest.

The seminar Symplectic Geometry at the University of Berne in summer 1992 showed that the topic of this book is a very active field, where many different branches of mathematics come tog9ther: differential geometry, topology, partial differential equations, variational calculus, and complex analysis.

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

This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds.

In the last years there has been significant progress in the theory of valuations, which in turn has led to important achievements in integral geometry.

The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990.

Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H.

The aim of this monograph is to present a self-contained introduction to some geometric and analytic aspects of the Yamabe problem.

Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing.

The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology.

In the last ?

Geometric flows have many applications in physics and geometry.

Filtering is the science of nding the law of a process given a partial observation of it.

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 book provides a comprehensive introduction to the Calculus of Variations and its use in modelling mechanics and physics problems.

This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics.

This monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance.

This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta.

This proceedings volume gathers selected, revised papers presented at the X International Meeting on Lorentzian Geometry (GeLoCor 2021), virtually held at the University of Cordoba, Spain, on February 1-5, 2021.

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.

This text is an enhanced, English version of the Russian edition, published in early 2021 and is appropriate for an introductory course in geometric control theory.

This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field.

This volume collects papers based on talks given at the conference "e;Geometrias'19: Polyhedra and Beyond"e;, held in the Faculty of Sciences of the University of Porto between September 5-7, 2019 in Portugal.

This book describes about unlike usual differential dynamics common in mathematical physics, heterogenesis is based on the assemblage of differential constraints that are different from point to point.

This book studies a class of monopoles defined by certain mild conditions, called periodic monopoles of generalized Cherkis-Kapustin (GCK) type.

This book combines the classical and contemporary approaches to differential geometry.

This monograph explores classical electrodynamics from a geometrical perspective with a clear visual presentation throughout.

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

This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces.

This book deals with an original contribution to the hypothetical missing link unifying the two fundamental branches of physics born in the twentieth century, General Relativity and Quantum Mechanics.

The volume consists of a set of surveys on geometry in the broad sense.

Deep connections exist between harmonic and applied analysis and the diverse yet connected topics of machine learning, data analysis, and imaging science.

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

This book consists of contributions from the participants of the Abel Symposium 2019 held in Alesund, Norway.

This textbook provides a thorough introduction to the differential geometry of parametrized curves and surfaces, along with a wealth of applications to specific architectural elements.

This book highlights a number of recent research advances in the field of symplectic and contact geometry and topology, and related areas in low-dimensional topology.

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

This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds.

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras.

This monograph systematically explores the theory of rational maps between spheres in complex Euclidean spaces and its connections to other areas of mathematics.

This volume arose from a semester at CIRM-Luminy on "e;Thermodynamic Formalism: Applications to Probability, Geometry and Fractals"e; which brought together leading experts in the area to discuss topical problems and recent progress.

This text is an enhanced, English version of the Russian edition, published in early 2021 and is appropriate for an introductory course in geometric control theory.

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.