Results 111 to 120 of about 63,399 (238)

Geometry of LP-Sasakian Manifolds Admitting a General Connection

open access: yesMathematics
This paper concerns certain properties of projective curvature tensor, conharmonic curvature tensor, quasi-conharmonic curvature tensor, and Ricci semi-symmetric conditions with respect to the general connection in an LP-Sasakian manifold.
Rajesh Kumar   +3 more
doaj   +1 more source

Some invariant theorems on geometry of Einstein non-symmetric field theory

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
This paper generalizes Einstein's theorem. It is shown that under the transformation TΛ:Uikℓ→U¯ikℓ≡Uikℓ+δiℓΛk−δkℓΛi, curvature tensor Skℓmi(U), Ricci tensor Sik(U), and scalar curvature S(U) are all invariant, where Λ=Λjdxj is a closed 1 ...
Liu Shu-Lin, Xu Sen-Lin
doaj   +1 more source

The non-minimal 3-form cosmology and the rise of the cuscuton

open access: yesJournal of High Energy Physics
We consider the 3-form theory with non-minimal coupling to gravity in an expanding Universe. First, we assume that the background is homogeneous and isotropic, and that the three-form is coupled to both the Ricci scalar and the Ricci tensor. We show that
Antonio De Felice, Anamaria Hell
doaj   +1 more source

Ricci Tensors on Some Infinite Dimensional Lie Algebras

open access: yesJournal of Functional Analysis, 1999
It is an important and delicate problem to construct the Ricci tensor on an infinite dimensional manifold and to study its properties. The author gives the corresponding construction for a free loop group and a central extension of a based loop group.
openaire   +2 more sources

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