Classification of Certain Compact Riemannian Manifolds with Harmonic Curvature and Non-parallel Ricci Tensor.
Andrzej Derdzinski (1980)
Mathematische Zeitschrift
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Displaying similar documents to “Existence of metrics with harmonic curvature and non parallel Ricci tensor.”
Classification of Certain Compact Riemannian Manifolds with Harmonic Curvature and Non-parallel Ricci Tensor.
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Carlo Alberto Mantica, Luca Guido Molinari (2012)
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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.
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Annales Polonici Mathematici
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Annales Polonici Mathematici
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Katarzyna Sawicz (2004)
Colloquium Mathematicae
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We investigate hypersurfaces M in semi-Riemannian spaces of constant curvature satisfying some Ricci-type equations and for which the tensor H³ is a linear combination of the tensor H², the second fundamental tensor H of M and the metric tensor g of M.
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Kazuhiko Takano (1993)
Colloquium Mathematicae
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Some invariant theorems on geometry of Einstein non-symmetric field theory.
Liu, Shu-Lin, Xu, Sen-Lin (1983)
International Journal of Mathematics and Mathematical Sciences
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The conformal change of the metric of an almost Hermitian manifold applied to the antiholomorphic curvature tensor
Mileva Prvanović (2013)
Communications in Mathematics
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By using the technique of decomposition of a Hermitian vector space under the action of a unitary group, Ganchev [2] obtained a tensor which he named the Weyl component of the antiholomorphic curvature tensor. We show that the same tensor can be obtained by direct application of the conformal change of the metric to the antiholomorphic curvature tensor. Also, we find some other conformally curvature tensors and examine some relations between them.
Trace decomposition and recurrency
Mircea Crâşmăreanu (2001)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Tapia, Victor (2009)
Revista Colombiana de Matemáticas
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