ENGLISH

Osserman Manifolds in Semi-Riemannian Geometry

By Eduardo García-Río , Demir N. Kupeli , Ramón Vázquez-Lorenzo (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2002
ISBN
3540431446, 9783540431442
DOI
10.1007/b83213
ISSN
0075-8434
LCC
QA3 .L28 no. 1777
Open Library ID
OL3656227M
Language
english
Format
DJVU
Filesize
1 MB (1387745 bytes)
Series
Lecture Notes in Mathematics 1777
Edition
1
Pages
170\175
Library
Kolxo3
DPI
400
Time added
2009-07-20 03:45:11
Differential Geometry; Mathematical and Computatio

Description

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.

Similar books