# Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics) by John M. Lee epub fb2 djvu

Author: | John M. Lee |

Title: | Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics) |

ISBN: | 038798271X |

ISBN13: | 978-0387982717 |

Other Formats: | mbr mobi azw doc |

Pages: | 226 pages |

Publisher: | Springer; 1997 edition (September 5, 1997) |

Language: | English |

Size EPUB version: | 1845 kb |

Size FB2 version: | 1382 kb |

Category: | Science & Math |

Subcategory: | Mathematics |

### Free Download links

**1845 downloads at 19 mb/s**

EPUB version

**1382 downloads at 23 mb/s**

FB2 version

This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnetâ€™s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.