However since a Riemannian manifold is even initially a subtle object appealing to highly non-natural concepts the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way fo... Lees meer.

From the preface. Many years have passed since the first edition. However the encouragements of various readers and friends have persuaded us to write this third edition. During these years Riemannian Geometry has undergone many dramatic developments. Here is not the... Lees meer.

Intended for a one year course this text serves as a single source introducing readers to the important techniques and theorems while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. This i... Lees meer.

Unlike many other texts on differential geometry this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds differential forms metrics and cu... Lees meer.

This text on Riemannian geometry and geometric analysis is written for graduates and reseachers and includes material new to the late 1990s on Ginzburg-Landau Seibert-Witten functionals spin geometry and Dirac operators.... Lees meer.

Recent developments in the field of differential geometry have been so extensive that a new book with particular emphasis on current work in Riemannian geometry is clearly necessary. This new text brilliantly serves that purpose and includes an elementary account of twi... Lees meer.

This book is an exposition of semi-Riemannian geometry also called pseudo-Riemannian geometry --the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry where the metric is positive defin... Lees meer.

The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject wi... Lees meer.

Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists this book... Lees meer.

This book discusses the geometrical aspects of Kaluza-Klein theories. The ten chapters cover topics from the differential and Riemannian manifolds to the reduction of Einstein-Yang-Mills action. It would definitely prove interesting reading to physicists and mathematici... Lees meer.

However since a Riemannian manifold is even initially a subtle object appealing to highly non-natural concepts the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way fo... Lees meer.

Sub-Riemannian geometry has been a full research domain with motivations and ramifications in several parts of pure and applied mathematics. This book provides an introduction to sub-Riemannian geometry. Sub-Riemannian geometry also known as Carnot geometry in Fran... Lees meer.

This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space and to n-dimensional Riemannian geometry. Based on Kreyszig s earlier book Differential Geometry it is presented in a simple and understandable m... Lees meer.

Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus linear algebra and differential equations to the higher levels of abstraction and proof encountered at the upper di... Lees meer.

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