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All metrics have curvature tensors characterised by its invariants as a limit: the ε-property
curvature tensors ε-property General Relativity and Quantum Cosmology
2011/10/8
Abstract: We prove a generalisation of the $\epsilon$-property, namely that for any dimension and signature, a metric which is not characterised by its polynomial scalar curvature invariants, there is...
Some Curvature Tensors on a Trans-Sasakian Manifold
Trans-Sasakian projectively flat concircularly flat
2010/2/26
The object of the present paper is to study the geometry of trans-Sasakian manifold when it is projectively semi-symmetric, Weyl semi-symmetric and concircularly semi-symmetric.