Results 71 to 80 of about 8,804 (193)

Entire Scalar Curvature Flow and Hypersurfaces of Constant Scalar Curvature in Minkowski Space [PDF]

open access: yesMethods and Applications of Analysis, 2009
We prove existence in the Minkowski space of entire spacelike hypersurfaces with constant negative scalar curvature and given set of lightlike directions at infinity; we also construct the entire scalar curvature flow with prescribed set of lightlike directions at infinity, and prove that the flow converges to a spacelike hypersurface with constant ...
openaire   +3 more sources

Erratum to: Total Scalar Curvature and Harmonic Curvature [PDF]

open access: yesTaiwanese Journal of Mathematics, 2016
It has been realized that the proof of Theorem 5.1 in Section 5 is imcomplete. It was pointed out by Professor Jongsu Kim and Israel Evangelista.
Yun, Gabjin   +2 more
openaire   +2 more sources

O(p + 1) x O(p + 1)-Invariant hypersurfaces with zero scalar curvature in euclidean space

open access: yesAnais da Academia Brasileira de Ciências, 2000
We use equivariant geometry methods to study and classify zero scalar curvature O(p + 1) x O(p + 1)-invariant hypersurfaces in R2p+2 with p > 1.
JOCELINO SATO
doaj   +1 more source

Kropina Metrics with Isotropic Scalar Curvature via Navigation Data

open access: yesMathematics
Through an interesting physical perspective and a certain contraction of the Ricci curvature tensor in Finsler geometry, Akbar-Zadeh introduced the concept of scalar curvature for the Finsler metric.
Yongling Ma   +2 more
doaj   +1 more source

Non-minimal two-loop inflation

open access: yesPhysics Letters B, 2015
We investigate the chaotic inflationary model using the two-loop effective potential of a self-interacting scalar field theory in curved spacetime. We use the potential which contains a non-minimal scalar curvature coupling and a quartic scalar self ...
Tomohiro Inagaki   +2 more
doaj   +1 more source

Kinetic scalar curvature extended f(R) gravity

open access: yesNuclear Physics B, 2018
In this work we study a modified version of vacuum f(R) gravity with a kinetic term which consists of the first derivatives of the Ricci scalar. We develop the general formalism of this kinetic Ricci modified f(R) gravity and we emphasize on cosmological
S.V. Chervon   +4 more
doaj   +1 more source

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