The decomposition of tensor spaces with almost complex structure
Lakomá, Lenka, Jukl, Marek
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Displaying similar documents to “Trace decomposition and recurrency”
The decomposition of tensor spaces with almost complex structure
Theorems concerning certain special tensor fields on Riemannian manifolds and their applications.
Konopka, Czesław (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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Extended Derdziński-Shen theorem for curvature tensors
Carlo Alberto Mantica, Luca Guido Molinari (2012)
Colloquium Mathematicae
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We extend a remarkable theorem of Derdziński and Shen, on the restrictions imposed on the Riemann tensor by the existence of a nontrivial Codazzi tensor. We show that the Codazzi equation can be replaced by a more general algebraic condition. The resulting extension applies both to the Riemann tensor and to generalized curvature tensors.
Particular trace decompositions and applications of trace decomposition to almost projective invariants
Mircea Crâşmăreanu (2001)
Mathematica Bohemica
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First, by using the formulae of Krupka, the trace decomposition for some particular classes of tensors of types (1, 2) and (1, 3) is obtained. Second, it is proved that the traceless part of a tensor is an almost projective invariant of weight 1. We apply this result to Weyl curvature tensors.
Mirror symmetry and conformal flatness in general relativity.
Gravel, P., Gauthier, C. (2004)
International Journal of Mathematics and Mathematical Sciences
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The Cotton Tensor and the Ricci Flow
Carlo Mantegazza, Samuele Mongodi, Michele Rimoldi (2017)
Geometric Flows
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We compute the evolution equation of the Cotton and the Bach tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case, and we discuss some applications.
Second order parallel tensor in real and complex space forms.
Sharma, Ramesh (1989)
International Journal of Mathematics and Mathematical Sciences
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On -recurrent hyperbolic Kaehlerian spaces.
Pušić, Nevena (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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On tensor fields semiconjugated with torse-forming vector fields
Lukáš Rachůnek, Josef Mikeš (2005)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The paper deals with tensor fields which are semiconjugated with torse-forming vector fields. The existence results for semitorse-forming vector fields and for convergent vector fields are proved.