On Cartan's differential geometry of torque stress in cylindrical solids.
L. C. García de Andrade, C. A. de Souza Lima (1996)
Extracta Mathematicae
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L. C. García de Andrade, C. A. de Souza Lima (1996)
Extracta Mathematicae
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Tomasz Jędrzejak, Maciej Ulas (2010)
Acta Arithmetica
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Ilka Agricola (2006)
Archivum Mathematicum
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This review article intends to introduce the reader to non-integrable geometric structures on Riemannian manifolds and invariant metric connections with torsion, and to discuss recent aspects of mathematical physics—in particular superstring theory—where these naturally appear. Connections with skew-symmetric torsion are exhibited as one of the main tools to understand non-integrable geometries. To this aim a a series of key examples is presented and successively dealt with using the...
D. Burghelea, L. Friedlander (1996)
Geometric and functional analysis
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Bhutani, Kiran R. (1989)
International Journal of Mathematics and Mathematical Sciences
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Robert Bryant (1998-1999)
Séminaire Bourbaki
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Aparna Dar (1987)
Mathematische Zeitschrift
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Aparna Dar (1988)
Mathematische Zeitschrift
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Friedrich, Thomas
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A G-structure on a Riemannian manifold is said to be integrable if it is preserved by the Levi-Civita connection. In the presented paper, the following non-integrable G-structures are studied: SO(3)-structures in dimension 5; almost complex structures in dimension 6; G-structures in dimension 7; Spin(7)-structures in dimension 8; Spin(9)-structures in dimension 16 and F-structures in dimension 26. G-structures admitting an affine connection with totally skew-symmetric torsion are characterized....