## The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden DimensionsString theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe.Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau’s penetrating thinking on where we’ve been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, |

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#### LibraryThing Review

User Review - antao - LibraryThing“The spaces Calabi envisioned not only were complex, but also had a special property called Kähler geometry. Riemann surfaces automatically qualify as Kähler, so the real meaning of the term only ... Read full review

#### LibraryThing Review

User Review - fpagan - LibraryThingFrom the horse's mouth, a qualitative but thorough account of the Calabi-Yau manifolds that mathematically model the compactification of the 6 extra spatial dimensions in string theory. Good stuff to ... Read full review

### Contents

I | ix |

II | 1 |

III | 17 |

IV | 39 |

V | 77 |

VI | 103 |

VII | 121 |

VIII | 151 |

XI | 227 |

XII | 253 |

XIII | 269 |

XIV | 289 |

XV | 307 |

XVI | 321 |

XVII | 325 |

XVIII | 329 |

### Other editions - View all

The Shape of Inner Space: String Theory and the Geometry of the Universe's ... Shing-Tung Yau,Steve Nadis No preview available - 2012 |