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 principal distinction between chapters and lectures is that the material of each chapter should be complete to a certain extent and the length of chapters can differ while in contrast all lectures should be approximately the same in length and the topic of any le... Lees meer.

This work develops critical new ideas and methods for the analysis of elliptic PDEs on compact Riemannian manifolds especially in the framework of the Yamabe equation critical Sobolev embedding and blow-up techniques asymptotic analysis . Elliptic equations of cri... Lees meer.

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This book is an exposition of Singular Semi-Riemannian Geometry - the study of a smooth manifold furnished with a degenerate singular metric tensor of arbitrary signature. This book is an exposition of Singular Semi-Riemannian Geometry - the study of a smooth man... 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.

This book covers the topics of differential manifolds Riemannian metrics connections geodesics and curvature with special emphasis on the intrinsic features of the subject. It treats in detail classical results on the relations between curvature and topology. The bo... 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.

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.