Riemannian Geometry / Manfredo Perdigão do Carmo ; translated by Francis Flaherty.
Material type: TextPublication details: Boston : Birkhauser, c1992.Description: 300 p. : ill. ; 25 cmISBN:- 0817634908 (acidfree)
- 3764334908 (acid-free)
- English
- 516.3/73 20
- QA649 .C2913 1992
Item type | Current library | Call number | Copy number | Status | Barcode | |
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QA649 .B4583 2003 A Panoramic View of Riemannian Geometry / | QA649 .B47 2001 An Introduction to Symplectic Geometry / | QA649 .B49 2008 Einstein Manifolds : reprint of the 1987 edition, with 22 figures / | QA649 .C2913 1992 Riemannian Geometry / | QA649 .E24 1996 Geometry of nonpositively curved manifolds / | QA649 .G8313 1999 Metric Structures for Riemannian and Non-Riemannian Spaces / | QA649 .H65 1994 Holomorphic Curves in Symplectic Geometry / |
Translation of the 2nd ed. of: Geometria riemanniana.
This is a new and expanded edition of this textbook for first-year graduate students in mathematics and physics, discussing the basic language of Riemannian geometry and presenting some of its most fundamental theorems. It is elementary in that it only assumes a modest background from the readers, making it suitable for a wide variety of students and course structures. It features basic definitions and theorems, examples and numerous exercises. The book begins with the definition of a differential manifold and ends with one of the most important results in Riemmanian geometry - a proof of the Sphere Theorem.
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