Differential and Riemannian geometry

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.

Differential-geometric methods are gaining increasing importance in the understanding of a wide range of fundamental natural phenomena.

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.

Noncommutative differential geometry is a new approach to classical geometry.

This volume contains the text of the lectures which were given at the Differential Geometry Meeting held at Liege in 1980 and at the Differential Geometry Meeting held at Leuven in 1981.

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

2 The authors of these issues involve not only mathematicians, but also speci- alists in (mathematical) physics and computer sciences.

It isn't that they can't see the solution.

This is the second edition of this best selling problem book for students, now containing over 400 completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds.

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

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 famous Swiss professor gave a student's course in Basel on Riemann surfaces.

The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings.

The book provides an introduction to Differential Geometry of Curves and Surfaces.

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.

Questo è un libro di testo sulla geometria differenziale di curve e superfici, adatto agli studenti universitari del secondo e terzo anno dei corsi di Laurea in Matematica, Fisica, Ingegneria e Informatica.

This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups.

This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the tools they will need for mathematical research on smooth manifolds and differential geometry.

In this volume are collected notes of lectures delivered at the First In- ternational Research Institute of the Mathematical Society of Japan.

This introduction to the theory of Teichmuller spaces will not only be used by graduate students and researchers in complex analysis and algebraic geometry, but also by theoretical physicists working with string theory.

This monograph presents the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry.

This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions.

Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincare conjecture, the Yau-Tian-Donaldson conjecture, and the Willmore conjecture.

This is the first comprehensive book on information geometry, written by the founder of the field.

The purpose of this monograph is to present the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry.

This volume includes 28 chapters by authors who are leading researchers of the world describing many of the up-to-date aspects in the field of several complex variables (SCV).

Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered at the ICM 2014 Satellite Conference and the 18th International Workshop on Real and Complex Submanifolds, which was held at the National Institute for Mathematical Sciences, Daejeon, Republic of Korea, August 10-12, 2014.

Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid's Elements.

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

The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature.

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

The main subject of this book is an up-to-date and in-depth survey of the theory of normal frames and coordinates in di?

This book describes very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds.

Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact.

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

Radiolaria are a very diverse marine siliceous microplankton group that have existed at least snice the Cambrian to the recent.

This book examines holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel.

In the past three or four decades, there has been increasing realization that metric foliations play a key role in understanding the structure of Riemannian manifolds, particularly those with positive or nonnegative sectional curvature.

The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion.