書誌事項

Osserman manifolds in semi-Riemannian geometry

Eduardo García-Río, Demir N. Kupeli, Ramón Vázquez-Lorenzo

(Lecture notes in mathematics, 1777)

Springer, c2002

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注記

Includes bibliographical references (p. [157]-163) and index

内容説明・目次

内容説明

The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential geometry. The notation is mostly coordinate-free and the terminology is that of modern differential geometry. Known results toward the complete proof of Riemannian Osserman conjecture are given and the Osserman conjecture in Lorentzian geometry is proved completely. Counterexamples to the Osserman conjuncture in generic semi-Riemannian signature are provided and properties of semi-Riemannian Osserman manifolds are investigated.

目次

The Osserman Conditions in Semi-Riemannian Geometry.- The Osserman Conjecture in Riemannian Geometry.- Lorentzian Osserman Manifolds.- Four-Dimensional Semi-Riemannian Osserman Manifolds with Metric Tensors of Signature (2,2).- Semi-Riemannian Osserman Manifolds.- Generalizations and Osserman-Related Conditions.

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詳細情報

  • NII書誌ID(NCID)
    BA55925901
  • ISBN
    • 3540431446
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin ; Tokyo
  • ページ数/冊数
    xii, 166 p.
  • 大きさ
    24 cm
  • 親書誌ID
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