Differential and Riemannian geometry

The volume contains a selection of papers presented at the 7th Symposium on differential geometry and differential equations (DD7) held at the Nankai Institute of Mathematics, Tianjin, China, in 1986.

The Session was intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, both in classical and quantum mechanics.

This unique book deals with the theory of Rozansky-Witten invariants, introduced by L Rozansky and E Witten in 1997.

From the reviews: "e;.

Manifolds are everywhere.

This book focuses on a selection of special topics, with emphasis on past and present research of the authors on "e;canonical"e; Riemannian metrics on smooth manifolds.

Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood.

Black holes present one of the most fascinating predictions of Einstein's general theory of relativity.

This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, 2016.

Teleparallel Gravity (TG) is an alternative theory for gravitation, which is equivalent to General Relativity (GR).

This 2007 textbook uses examples, exercises, diagrams, and unambiguous proof, to help students make the link between classical and differential geometries.

This is the sixth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research.

On the occasion of the sixtieth birthday of Andre Lichnerowicz a number of his friends, many of whom have been his students or coworkers, decided to celebrate this event by preparing a jubilee volume of contributed articles in the two main fields of research marked by Lichnerowicz's work, namely differential geometry and mathematical physics.

This book consists of two lecture notes on geometric flow equations (O.

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

Starting from an undergraduate level, this book systematically develops the basics of* Calculus on manifolds, vector bundles, vector fields and differential forms,* Lie groups and Lie group actions,* Linear symplectic algebra and symplectic geometry,* Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory.

A number of important topics in complex analysis and geometry are covered in this excellent introductory text.

"e;Spherical soap bubbles"e;, isometric minimal immersions of round spheres into round spheres, or spherical immersions for short, belong to a fast growing and fascinating area between algebra and geometry.

One of the most elementary questions in mathematics is whether an area minimizing surface spanning a contour in three space is immersed or not; i.

The concept of ridges has appeared numerous times in the image processing liter- ature.

This volume collects contributions written bydifferent experts in honor of Prof.

The volume is dedicated to AA.

This book is an enhanced version of an earlier Russian edition.

Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones.

Differential and complex geometry are two central areas of mathematics with a long and intertwined history.

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics.

The principle aim of this unique text is to illuminate the beauty of the subject both with abstractions like proofs and mathematical text, and with visuals, such as abundant illustrations and diagrams.

This book collects independent contributions on current developments in quantum information theory, a very interdisciplinary field at the intersection of physics, computer science and mathematics.

This book presents problems and solutions in calculus with curvilinear coordinates.

Finslerian Laplacians have arisen from the demands of modelling the modern world.

This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them.

The topics covered are pure differential geometry, especially submanifolds and affine differential geometry, and applications of geometry to human vision, robotics, and gastro-entrology.

The study of minimal surfaces is an important subject in differential geometry, and Nevanlinna theory is an important subject in complex analysis and complex geometry.

This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics.

The aim of these lecture notes is to give an essentially self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments concerning the structure of the singular set and asymptotics on approach to the singular set.

Equivariant cohomology on smooth manifolds is the subject of this book which is part of a collection of volumes edited by J.

The book gathers contributions from the fourth conference on Information Geometry and its Applications, which was held on June 12-17, 2016, at Liblice Castle, Czech Republic on the occasion of Shun-ichi Amari's 80th birthday and was organized by the Czech Academy of Sciences' Institute of Information Theory and Automation.

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds.

This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand.

This volume presents modern developments in analysis, PDEs and geometric analysis by some of the leading worldwide experts, prominent junior and senior researchers who were invited to be part of the Ghent Analysis & PDE Center Methusalem Seminars from 2021 to 2022.

During the last ten years a powerful technique for the study of partial differential equations with regular singularities has developed using the theory of hyperfunctions.

These lecture notes have been written as an introduction to the characteristic theory for two-dimensional Monge-Ampere equations, a theory largely developed by H.