The torsion of spinor connections and related structures.
Klinker, Frank (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Cocalibrated -manifolds with Ricci flat characteristic connection”
The torsion of spinor connections and related structures.
The intrinsic torsion of almost quaternion-Hermitian manifolds
Francisco Martín Cabrera, Andrew Swann (2008)
Annales de l’institut Fourier
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We study the intrinsic torsion of almost quaternion-Hermitian manifolds via the exterior algebra. In particular, we show how it is determined by particular three-forms formed from simple combinations of the exterior derivatives of the local Kähler forms. This gives a practical method to compute the intrinsic torsion and is applied in a number of examples. In addition we find simple characterisations of HKT and QKT geometries entirely in the exterior algebra and compute how the intrinsic...
Killing tensors and Einstein-Weyl geometry
Włodzimierz Jelonek (1999)
Colloquium Mathematicae
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We give a description of compact Einstein-Weyl manifolds in terms of Killing tensors.
An introduction to the abelian Reidemeister torsion of three-dimensional manifolds
Gwénaël Massuyeau (2011)
Annales mathématiques Blaise Pascal
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These notes accompany some lectures given at the autumn school “” in October 2009. The abelian Reidemeister torsion for -manifolds, and its refinements by Turaev, are introduced. Some applications, including relations between the Reidemeister torsion and other classical invariants, are surveyed.
Generalized -space-forms
Alicia Prieto-Martín, Luis M. Fernández, Ana M. Fuentes (2013)
Publications de l'Institut Mathématique
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Geometry of parallelizable manifolds in the context of generalized Lagrange spaces.
Wanas, M.I., Youssef, Nabil L., Sid-Ahmed, A.M. (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Combinatorial differential geometry and ideal Bianchi–Ricci identities II – the torsion case
Josef Janyška, Martin Markl (2012)
Archivum Mathematicum
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This paper is a continuation of [2], dealing with a general, not-necessarily torsion-free, connection. It characterizes all possible systems of generators for vector-field valued operators that depend naturally on a set of vector fields and a linear connection, describes the size of the space of such operators and proves the existence of an ‘ideal’ basis consisting of operators with given leading terms which satisfy the (generalized) Bianchi–Ricci identities without corrections. ...