Differential and Riemannian geometry

Ever since its introduction around 1960 by Kirillov, the orbit method has played a major role in representation theory of Lie groups and Lie algebras.

The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student.

Differential Geometry is a wide field.

Presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics.

This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology).

This updated and expanded edition presents a highly accurate specification for part surface machining.

For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory.

This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms.

This book presents recent advances in the field of shape analysis.

The development of dynamics theory began with the work of Isaac Newton.

How I have (re-)written this book The book the reader has in hand was supposed to be a new edition of [14].

This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2).

This concise and practical textbook presents the essence of the theory on smooth manifolds.

Analytic number theory and part of the spectral theory ofoperators (differential, pseudo-differential, elliptic,etc.

This book is an outgrowth of the Workshop on "e;Regulators in Analysis, Geom- etry and Number Theory"e; held at the Edmund Landau Center for Research in Mathematical Analysis of The Hebrew University of Jerusalem in 1996.

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

This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2).

This book introduces D-modules and their applications avoiding all unnecessary over-sophistication.

Dieses Buch ist eine Einführung in die Differentialgeometrie und ein passender Begleiter zum Differentialgeometrie-Modul (ein- und zwei-semestrig).

Computer Vision is a rapidly growing field of research investigating computational and algorithmic issues associated with image acquisition, processing, and understanding.

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

This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces.

This textbook offers an introduction to differential geometry designed for readers interested in modern geometry processing.

This is a book that the author wishes had been available to him when he was student.

The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student.

This 1994 book introduces the tools of modern differential geometry, exterior calculus, manifolds, vector bundles and connections.

With detailed explanations and numerous examples, this textbook covers the differential geometry of surfaces in Euclidean space.

Advances in technology over the last 25 years have created a situation in which workers in diverse areas of computerscience and engineering have found it neces- sary to increase their knowledge of related fields in order to make further progress.

18 Operators with Almost Periodic Coefficients .

This book covers recent advances in several important areas of geometric analysis including extremal eigenvalue problems, mini-max methods in minimal surfaces, CR geometry in dimension three, and the Ricci flow and Ricci limit spaces.

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

Approach your problems from the right end It isn't that they can't see the solution.

Vijay Kumar Patodi was a brilliant Indian mathematicians who made, during his short life, fundamental contributions to the analytic proof of the index theorem and to the study of differential geometric invariants of manifolds.

The goal of this monograph is to answer the question, is it possible to solve the dynamics problem inside the configuration space instead of the phase space?

Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry.

In inverse problems, the aim is to obtain, via a mathematical model, information on quantities that are not directly observable but rather depend on other observable quantities.

This volume presents lectures given at the Summer School Wisla 18: Nonlinear PDEs, Their Geometry, and Applications, which took place from August 20 - 30th, 2018 in Wisla, Poland, and was organized by the Baltic Institute of Mathematics.

Represents the state of the art in the new field of synthetic differential topology.

This is an essential textbook the advanced undergraduate and graduate students of mathematics.

This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015.