Riemannian Holonomy Groups and Calibrated Geometry

2003 ◽  
pp. 1-68 ◽  
Author(s):  
Dominic Joyce
Keyword(s):  
Holonomy Groups ◽  
Calibrated Geometry

On the Length of Loops Generating Holonomy Groups

1991 ◽  
Vol 23 (4) ◽  
pp. 372-374 ◽  
Author(s):  
D. R. Wilkins
Keyword(s):  
Holonomy Groups

Holonomy groups of Riemann spaces

1968 ◽  
Vol 19 (2) ◽  
pp. 212-215
Author(s):  
D. V. Alekseevskii
Keyword(s):  
Holonomy Groups

Gauge fields on superspaces with different holonomy groups

2007 ◽  
pp. 389-392
Author(s):  
V. P. Akulov ◽  
D. V. Volkov ◽  
V. A. Soroka
Keyword(s):  
Gauge Fields ◽  
Holonomy Groups

scholarly journals On the Holonomy Groups of Linear Connections

1956 ◽  
Vol 10 ◽  
pp. 97-100 ◽  
Author(s):  
Jun-Ichi Hano ◽  
Hideki Ozeki
Keyword(s):  
Linear Group ◽  
Affine Space ◽  
General Linear Group ◽  
Affine Connection ◽  
Holonomy Group ◽  
Linear Connection ◽  
General Linear ◽  
Linear Connections ◽  
Holonomy Groups ◽  
Lie Subgroup

In this note we show in § 1, as the main result, that any connected Lie subgroup of the general linear group GL(n, R) can be realized as the holonomy group of a linear connection, i.e. the homogeneous holonomy group of the associeted affine connection, defined on an affine space of dimension n (n ≧ 2).

Polynomial growth in holonomy groups of foliations

1976 ◽  
Vol 51 (1) ◽  
pp. 567-584 ◽  
Author(s):  
J. F. Plante ◽  
W. P. Thurston
Keyword(s):  
Polynomial Growth ◽  
Holonomy Groups

Infinitesimal holonomy groups of Einstein-Maxwell space-times

1987 ◽  
Vol 19 (1) ◽  
pp. 95-107 ◽  
Author(s):  
C. D. Collinson ◽  
P. N. Smith
Keyword(s):  
Holonomy Groups ◽  
Maxwell Space
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