عنوان

Riemannian Geometry

شابک

3540524010

شابک

364297242X

شابک

9783540524014

شابک

9783642972423

شماره

b576658

عنوان اصلي

Riemannian Geometry

نام عام مواد

[Book]

نام نخستين پديدآور

by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine.

وضعيت ويراست

Second edition

محل نشرو پخش و غیره

Berlin, Heidelberg

نام ناشر، پخش کننده و غيره

Springer Berlin Heidelberg

تاریخ نشرو بخش و غیره

1990

نام خاص و کميت اثر

(XIII, 286 Seiten)

عنوان فروست

Universitext

متن يادداشت

In this second edition, the main additions are a section devoted to surfaces with constant negative curvature, and an introduction to conformal geometry. Also, we present a -soft-proof of the Paul Levy-Gromov isoperimetric inequal ity, kindly communicated by G. Besson. Several people helped us to find bugs in the. first edition. They are not responsible for the persisting ones! Among them, we particularly thank Pierre Arnoux and Stefano Marchiafava. We are also indebted to Marc Troyanov for valuable comments and sugges tions. INTRODUCTION This book is an outgrowth of graduate lectures given by two of us in Paris. We assume that the reader has already heard a little about differential manifolds. At some very precise points, we also use the basic vocabulary of representation theory, or some elementary notions about homotopy. Now and then, some remarks and comments use more elaborate theories. Such passages are inserted between *. In most textbooks about Riemannian geometry, the starting point is the local theory of embedded surfaces. Here we begin directly with the so-called "abstract" manifolds. To illustrate our point of view, a series of examples is developed each time a new definition or theorem occurs. Thus, the reader will meet a detailed recurrent study of spheres, tori, real and complex projective spaces, and compact Lie groups equipped with bi-invariant metrics. Notice that all these examples, although very common, are not so easy to realize (except the first) as Riemannian submanifolds of Euclidean spaces.

موضوع مستند نشده

Cell aggregation -- Mathematics.

موضوع مستند نشده

Differential Geometry.

موضوع مستند نشده

Global differential geometry.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine.

مستند نام اشخاص تاييد نشده

Dominique Hulin

مستند نام اشخاص تاييد نشده

Jacques Lafontaine

مستند نام اشخاص تاييد نشده

Sylvestre Gallot

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y