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Beschreibung
The original Russian edition of this book is the fifth in my series "Lectures on Geometry. " Therefore, to make the presentation relatively independent and self-contained in the English translation, I have added supplementary chapters in a special addendum (Chaps. 3Q-36), in which the necessary facts from manifold theory and vector bundle theory are briefly summarized without proofs as a rule. In… the original edition, the book is divided not into chapters but into lec tures. This is explained by its origin as classroom lectures that I gave. 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 lecture can change suddenly in the middle. For the series "Encyclopedia of Mathematical Sciences," the origin of a book has no significance, and the name "chapter" is more usual. Therefore, the name of subdivisions was changed in the translation, although no structural surgery was performed. I have also added a brief bibliography, which was absent in the original edition. The first ten chapters are devoted to the geometry of affine connection spaces. In the first chapter, I present the main properties of geodesics in these spaces. Chapter 2 is devoted to the formalism of covariant derivatives, torsion tensor, and curvature tensor. The major part of Chap. 96,29 €
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Technische Daten
Erscheinungsdatum
09.12.2010
Sprache
Englisch
EAN
9783642074349
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Encyclopaedia of Mathematical Sciences
Sonderedition
Nein
Autor
M.M. Postnikov
Seitenanzahl
504
Einbandart
Broschiert
Buch Untertitel
Riemannian Geometry
Schlagwörter
Lie groups, Minimal surface, Riemannian geometry, connections, differential geometry, manifold, symmetric spaces
Thema-Inhalt
PBM - Geometrie
PBMP - Differentielle und Riemannsche Geometrie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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