Osserman Manifolds in Semi-Riemannian Geometry

Eduardo Garcia-Rio, Demir N. Kupeli, Ramon Vazquez-Lorenzo (Autoren)

Buch | Softcover

XIV, 170 Seiten

2002 | 2002
Springer Berlin (Verlag)
978-3-540-43144-2 (ISBN)

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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.

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.

Erscheint lt. Verlag	25.2.2002
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	XIV, 170 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	268 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Themenwelt	Naturwissenschaften ► Physik / Astronomie
Schlagworte	Differential Geometry • manifold • Osserman Conjecture • Osserman Semi-Riemannian Manifold • Riemannian Geometry • two-point homogeneous spaces
ISBN-10	3-540-43144-6 / 3540431446
ISBN-13	978-3-540-43144-2 / 9783540431442
Zustand	Neuware