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Characteristic Class
Contact Structure
Differential Geometry
Einstein Metric
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Irreducible Representation
riemannian manifold
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On the topology and the geometry of SO(3)manifolds
On the topology and the geometry of SO(3)manifolds,10.1007/s104550109245x,Annals of Global Analysis and Geometry,Ilka Agricola,Julia BeckerBender
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On the topology and the geometry of SO(3)manifolds
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Ilka Agricola
,
Julia BeckerBender
,
Thomas Friedrich
Consider the nonstandard embedding of SO(3) into SO(5) given by the fivedimensional
irreducible representation
of SO(3), henceforth called SO(3)ir. In this note, we study the topology and the
differential geometry
of fivedimensional Riemannian manifolds carrying such an SO(3)ir structure, i.e., with a reduction of the frame bundle to SO(3)ir.
Journal:
Annals of Global Analysis and Geometry  ANN GLOB ANAL GEOM
, vol. 40, no. 1, pp. 6784, 2011
DOI:
10.1007/s104550109245x
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References
(15)
Connections on Naturally Reductive Spaces, Their Dirac Operator and Homogeneous Models in String Theory
(
Citations: 15
)
Ilka Agricola
Journal:
Communications in Mathematical Physics  COMMUN MATH PHYS
, vol. 232, no. 3, pp. 535563, 2003
The Srni lectures on nonintegrable geometries with torsion
(
Citations: 16
)
Ilka Agricola
Published in 2006.
Geometric structures of vectorial type
(
Citations: 7
)
Ilka Agricola
,
Thomas Friedrich
Journal:
Journal of Geometry and Physics  J GEOM PHYSICS
, vol. 56, no. 12, pp. 24032414, 2006
Almost Hermitian 6manifolds revisited
(
Citations: 20
)
Bogdan Alexandrov
,
Thomas Friedrich
,
Nils Schoemann
Journal:
Journal of Geometry and Physics  J GEOM PHYSICS
, vol. 53, no. 1, pp. 130, 2005
The topological obstructions to the existence of an irreducible SO(3) structure on a five manifold
(
Citations: 2
)
Marcin Bobienski
Published in 2006.