On some curvature functionals over homogeneous Siklos space-times
محورهای موضوعی : Differential geometry
A. Zaeim
1
,
M. Jafari
2
,
R. Kafimoosavi
3
1 - Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran
2 - Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran
3 - Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran
کلید واژه: Siklos space-times, quadratic curvature functional, critical metric, homogeneous space,
چکیده مقاله :
Some curvature functionals which are defined according to the quadratic curvature invariants were studied on a special class of space-times. We exactly determine metrics that are critical for those considering curvature functionals, through homogeneous classes.
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