Differential and Riemannian geometry

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

This volume consists of 15 papers contributing to the Hayama Symposium on Complex Analysis in Several Variables XXIII, which was dedicated to the 100th anniversary of the creation of the Bergman kernel.

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

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 monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three.

This volume is dedicated to the memory of Shoshichi Kobayashi, and gathers contributions from distinguished researchers working on topics close to his research areas.

This concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theorem, and the laws of black hole thermodynamics.

This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins.

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 volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulgaria.

This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during 17th Aug.

The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996.

The theories of V.

This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis.

The Nordic Summer School 1985 presented to young researchers the mathematical aspects of the ongoing research stemming from the study of field theories in physics and the differential geometry of fibre bundles in mathematics.

This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics.

This book explains the notion of Brakke's mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory.

This book is a collection of selected research papers, some of which were presented at the International Conference on Differential Geometry, Algebra and Analysis (ICDGAA 2016), held at the Department of Mathematics, Jamia Millia Islamia, New Delhi, from 15-17 November 2016.

This book treats the two-dimensional non-linear supersymmetric sigma model or spinning string from the perspective of supergeometry.

The papers in this volume are an outgrowth of the lectures and informal discussions that took place during the workshop on "e;The Geometry of Hamiltonian Systems"e; which was held at MSRl from June 5 to 16, 1989.

The theory of foliations and contact forms have experienced such great de- velopment recently that it is natural they have implications in the field of mechanics.

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics.

The 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications.

Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups.

This book is an introduction to the theory of spatial quasiregular mappings intended for the uninitiated reader.

to Homotopy Theory O.

This book describes the classical aspects of the variational calculus which are of interest to analysts, geometers and physicists alike.

No detailed description available for "e;Geometry of Incompatible Deformations"e;.

Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory.

This proceedings on pure and applied differential geometry, discusses several subjects in submanifold theory, such as the Willmore problem, minimal surfaces, submanifolds of finite type, affine differential geometry, indefinite Riemannian geometry, and applications of differential geometry in human and artificial vision.

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

The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op- erators in differential geometry.

This book illustrates the deep roots of the geometrically nonlinear kinematics ofgeneralized continuum mechanics in differential geometry.

This volume contains a collection of research papers and useful surveys by experts in the field which provide a representative picture of the current status of this fascinating area.

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

The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry.

What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common?

"e;Geometry and Physics"e; addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry.

One of the mathematical challenges of modern physics lies in the development of new tools to efficiently describe different branches of physics within one mathematical framework.

This 1990 collection of review articles covers the considerable progress made in a wide range of applications of twistor theory.

The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic?

This book is an outgrowth of the conference "e;Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods"e; that was held in Paris in May 2016.

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

Boundary problems constitute an essential field of common mathematical interest.

Topics covered in this volume (large deviations, differential geometry, asymptotic expansions, central limit theorems) give a full picture of the current advances in the application of asymptotic methods in mathematical finance, and thereby provide rigorous solutions to important mathematical and financial issues, such as implied volatility asymptotics, local volatility extrapolation, systemic risk and volatility estimation.

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