Studies Hardy spaces on C 1 and Lipschitz domains in Riemannian manifolds. The author establishes this theorem in any dimension if the domain is C 1 in case of a Lipschitz domain the result holds if dim M le 3 . The remaining cases for Lipschitz domains remain open... Lees meer.

This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. This textbook is designed for a one or two semester graduate course on Riemannian geometry for stud... 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 textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. This textbook is designed for a one or two semester graduate course on Riemannian geometry for stud... 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.

This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted expanded and aptly retitled from Lee s earlier book Riemannian... Lees meer.

This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also provides a detailed introduction to homogeneous geodesics that is geodesics that are integral curves of Killing vector fields presen... 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 is the third version of a book on differential manifolds. At the most basic level the book gives an introduction to the basic concepts which are used in differential topology differential geometry and differential equations. This is the third version of a boo... 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.

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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.

This book provides an upto date information on metric connection and curva ture symmetries used in geometry and physics. This book provides an upto date information on metric connection and curva ture symmetries used in geometry and physics. More specifically we... Lees meer.