Differential and Riemannian geometry

Up-to-date research in metric diffusion along compact foliations is presented in this book.

The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry.

'The present volume, written in a clear and precise style, ends with a rich bibliography of 167 items, including some classical books and papers.

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

Differential geometry, in the classical sense, is developed through the theory of smooth manifolds.

This volume guides early-career researchers through recent breakthroughs in mathematics and physics as related to general relativity.

In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges.

Astronomy as well as molecular physics describe non-relativistic motion by an interaction of the same form: By Newton's respectively by Coulomb's potential.

Fred Almgren exploited the excess method for proving regularity theorems in the calculus of variations.

This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July 2019.

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

A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.

This book consists of two parts, different in form but similar in spirit.

Aimed toward graduate students and research mathematicians, with minimal prerequisites this book  provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory.

From the Preface: "e;This book was written for the active reader.

This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe.

This book features chapters written by renowned scientists from various parts of the world, providing an up-to-date survey of submanifold theory, spanning diverse topics and applications.

The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential operators.

Investigations in modem nonlinear analysis rely on ideas, methods and prob- lems from various fields of mathematics, mechanics, physics and other applied sciences.

This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis.

This book deals with Riemannian manifolds for which the nullity space of the curvature tensor has codimension two.

This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup.

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

A variety of introductory articles is provided on a wide range of topics, including variational problems on curves and surfaces with anisotropic curvature.

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 provides the first unified examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry.

Gathering and updating results scattered in journal articles over thirty years, this self-contained monograph gives a comprehensive introduction to the subject.

This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation.

Homogeneous Finsler Spaces is the first book to emphasize the relationship between Lie groups and Finsler geometry, and the first to show the validity in using Lie theory for the study of Finsler geometry problems.

Hideki Omori is widely recognized as one of the world's most creative and original mathematicians.

This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation.

Einstein's equations stem from General Relativity.

In this book we study sprays and Finsler metrics.

As in the field of "e;Invariant Distances and Metrics in Complex Analysis"e; there was and is a continuous progress this is now the second extended edition of the corresponding monograph.

This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry.

These notes present very recent results on compact Kahler-Einstein manifolds of positive scalar curvature.

This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup.

From the reviews of the 1st edition:"e;This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds.

The topic of this book is located at the intersection of complex analysis, operator theory and partial differential equations.

This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction.

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

These notes consist of two parts: 1) Selected Topics in Geometry, New York University 1946, Notes by Peter Lax.

This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics.