Differential and Riemannian geometry

These proceedings include selected and refereed original papers; most are research papers, a few are comprehensive survey articles.

?

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

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

This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds.

The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian.

This textbook provides a coherent, integrated look at various topics from undergraduate analysis.

An introduction to the state of the art in the study of Kahler groupsThis book gives an authoritative and up-to-date introduction to the study of fundamental groups of compact Kahler manifolds, known as Kahler groups.

Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampere and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view.

This book represents the first synthesis of the considerable body of new research into positive definite matrices.

In this book, the optimal transportation problem (OT) is described as a variational problem for absolutely continuous stochastic processes with fixed initial and terminal distributions.

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

This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach.

This contributed volume is the result of a July 2010 workshop at the University of Wuppertal Interdisciplinary Centre for Science and Technology Studies which brought together world-wide experts from physics, philosophy and history, in order to address a set of questions first posed in the 1950s: How do we compare spacetime theories?

The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory.

Riemannian geometry has today become a vast and important subject.

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.

In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry.

One ofthe most important features of the development of physical and mathematical sciences in the beginning of the 20th century was the demolition of prevailing views of the three-dimensional Euclidean space as the only possible mathematical description of real physical space.

The plausible relativistic physical variables describing a spinning, charged and massive particle are, besides the charge itself, its Minkowski (four) po- sition X, its relativistic linear (four) momentum P and also its so-called Lorentz (four) angular momentum E # 0, the latter forming four trans- lation invariant part of its total angular (four) momentum M.

A comprehensive text and reference on sub-Riemannian and Heisenberg manifolds using a novel and robust variational approach.

This volume of the EMS contains four survey articles on analytic spaces.

It is known that to any Riemannian manifold (M, g ) , with or without boundary, one can associate certain fundamental objects.

Einstein's equations stem from General Relativity.

This volume of proceedings is an offspring of the special semester Ergodic Theory, Geometric Rigidity and Number Theory which was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from Jan- uary until July, 2000.

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.

Dieses Buch entstand aus Vorlesungen über das Thema "Differentialgeometrie", die der Autor wiederholt und an verschiedenen Orten gehalten hat.

The emergence of topological quantum ?

This book is meant to be an introduction to Riemannian geometry.

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

The question of existence of c10sed geodesics on a Riemannian manifold and the properties of the corresponding periodic orbits in the geodesic flow has been the object of intensive investigations since the beginning of global differential geo- metry during the last century.

This book is about the smooth classification of a certainclass of algebraicsurfaces, namely regular ellipticsurfaces of geometric genus one, i.

One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years.

This IMA Volume in Mathematics and its Applications GEOMETRIC METHODS IN INVERSE PROBLEMS AND PDE CONTROL contains a selection of articles presented at 2001 IMA Summer Program with the same title.

Knowledge management (KM) is about managing the lifecycle of knowledge consisting of creating, storing, sharing and applying knowledge.

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

Zu Recht wird Albert Einsteins Entdeckung der Allgemeinen Relativitätstheorie bewundert, denn ihre Erkenntnisse haben unseren Blick auf das Universum grundlegend verändert.

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 papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory.

Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics, and invariant theory, and the results in this field were until now scattered across the literature.

This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms.

Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity.