A remark on algebraic identities for the covariant derivative of the curvature tensor
Demeter Krupka (1980)
Archivum Mathematicum
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Demeter Krupka (1980)
Archivum Mathematicum
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N. Bokan (1971)
Matematički Vesnik
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Angelo Morro, Maurizio Vianello (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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In connection with the determination of the free energy functional for the viscoelastic stress tensor, a viscoelastic material is considered as described by a material with internal variables. In this framework the free energy is uniquely determined. It proves to be the minimal one in the class of thermodynamically admissible free energies.
Angelo Morro, Maurizio Vianello (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In connection with the determination of the free energy functional for the viscoelastic stress tensor, a viscoelastic material is considered as described by a material with internal variables. In this framework the free energy is uniquely determined. It proves to be the minimal one in the class of thermodynamically admissible free energies.
D. Ž. Đoković (1963)
Matematički Vesnik
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G. S. Hall (1982)
Archivum Mathematicum
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R. Lenczewski (1998)
Banach Center Publications
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From a sequence of m-fold tensor product constructions that give a hierarchy of freeness indexed by natural numbers m we examine in detail the first non-trivial case corresponding to m=2 which we call 2-freeness. We show that in this case the constructed tensor product of states agrees with the conditionally free product for correlations of order ≤ 4. We also show how to associate with 2-freeness a cocommutative *-bialgebra.
Edinah K. Gnang, Ahmed Elgammal, Vladimir Retakh (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this paper we propose a general spectral theory for tensors. Our proposed factorization decomposes a tensor into a product of orthogonal and scaling tensors. At the same time, our factorization yields an expansion of a tensor as a summation of outer products of lower order tensors. Our proposed factorization shows the relationship between the eigen-objects and the generalised characteristic polynomials. Our framework is based on a consistent multilinear algebra which explains how...