Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators

被引：35

作者：

Díaz-Ramos, JC ^{[1
]}

García-Río, E ^{[1
]}

Vázquez-Lorenzo, R ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Dept Geometry & Topol, Santiago De Compostela 15782, Spain

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2006年 / 16卷 / 01期

关键词：

Jacobi operator; Jordan-Osserman; Walker metric; self-dual and anti-self-dual Weyl tensor;

D O I：

10.1007/BF02930986

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A complete description of Osserman four-manifolds whose Jacobi operators have a nonzero double root of the minimal polynomial is given.

引用

页码：39 / 52

页数：14

共 24 条

[1]

ALEKSEEVSKI DM, 1999, ARCH MATH BRNO, V35, P193

[2] Osserman pseudo-Riemannian manifolds of signature (2,2) [J].

Blazic, N ;

Bokan, N ;

Rakic, Z .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 2001, 71 :367-395

[3] A note on Osserman Lorentzian manifolds [J].

Blazic, N ;

Bokan, N ;

Gilkey, P .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1997, 29 :227-230

[4]

BLAZIC N, IN PRESS CURVATURE S

[5] Pseudo-Riemannian manifolds with simple Jacobi operators [J].

Bonome, A ;

Castro, R ;

García-Río, E ;

Hervella, L ;

Vázquez-Lorenzo, R .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2002, 54 (04) :847-875

[6] Bochner-Kahler metrics [J].

Bryant, RL .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 14 (03) :623-715

[7] Curvature properties of four-dimensional Walker metrics [J].

Chaichi, M ;

García-Río, E ;

Matsushita, Y .

CLASSICAL AND QUANTUM GRAVITY, 2005, 22 (03) :559-577

[8]

CHI QS, 1988, J DIFFER GEOM, V28, P187

[9]

Cruceanu V, 1996, ROCKY MT J MATH, V26, P83, DOI 10.1216/rmjm/1181072105

[10]

DIAZRAMOS JC, IN PRESS DIFFERENTIA

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