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Osserman Manifolds in Semi-Riemannian Geometry
Eduardo Garcia-Rio
Demir N. Kupeli
Ramon Vazquez-Lorenzo
出版
Springer Science & Business Media
, 2002-02-25
主題
Mathematics / General
Mathematics / Geometry / General
Mathematics / Geometry / Analytic
Mathematics / Geometry / Differential
Medical / General
Science / Physics / Mathematical & Computational
ISBN
3540431446
9783540431442
URL
http://books.google.com.hk/books?id=9BWcx8EKWbgC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.