Holonomy groups and parallel spinors on totally reducible pseudo-Riemannian manifolds.

被引：6

作者：

Ikemakhen, A ^{[1
]}

机构：

[1] Fac Sci & Tech, Marrakech, Morocco

来源：

COMPTES RENDUS MATHEMATIQUE | 2004年 / 339卷 / 03期

关键词：

D O I：

10.1016/j.crma.2004.04.029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Holonomy groups and parallel spinors on totally reducible pseudo-Riemannian manifolds. We characterize, by their holonomy groups, the totally reducible spin pseudo-Riemannian manifolds which admit parallel spinors. (C) 2004 Academie des sciences. Publie par Elsevier SAS. Tous droits reserves.

引用

页码：203 / 208

页数：6

共 9 条

[1] A THEOREM ON HOLONOMY [J].

AMBROSE, W ;

SINGER, IM .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 75 (NOV) :428-443

[2]

Baum H, 1991, TWISTOR KILLING SPIN, V124

[3] The dimers stay intact: a quantitative photoelectron study of the adsorption system Si{100}(2x1)-C2H4 [J].

Baumgaertel, P. ;

Lindsay, R. ;

Schaff, O. ;

Giessel, T. ;

Terborg, R. ;

Hoeft, J. T. ;

Polcik, M. ;

Bradshaw, A. M. ;

Carbone, M. ;

Piancastelli, M. N. ;

Zanoni, R. ;

Toomes, R. L. ;

Woodruff, D. P. .

NEW JOURNAL OF PHYSICS, 1999, 1 :20.1-20.15

[4]

Berger M., 1955, B SOC MATH FRANCE, V83, P279

[5]

BERGERY LB, IN PRESS CLASSIFICAT

[6] Parallel pure spinors and holonomy [J].

Ikemakhen, A .

COMPTES RENDUS MATHEMATIQUE, 2003, 337 (03) :179-184

[7]

LEISTNER T, 2003, THESIS HUMBOLD U BER

[8]

Wang M. Y., 1989, ANN GLOB ANAL GEOM, V7, P59, DOI [10.1007/BF00137402, DOI 10.1007/BF00137402]

[9]

Wu H., 1964, Ill. J. Math., V8, P291

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