– In this paper we consider some (α ,β ) -metrics such as generalized Kropina, Matsumoto and F (α β )2 α = + metrics, and obtain necessary and sufficient conditions for them to be Einstein metrics when β is a constant Killing form. Then we prove with this assumption that the mentioned Einstein metrics must be Riemannian or Ricci flat.
REZAEI, B. , RAZAVI, A. and SADEGHZADEH, N. (2008). ON EINSTEIN (α,β )-METRICS. Iranian Journal of Science, 32(4), 403-412. doi: 10.22099/ijsts.2008.2298
MLA
REZAEI, B. , , RAZAVI, A. , and SADEGHZADEH, N. . "ON EINSTEIN (α,β )-METRICS", Iranian Journal of Science, 32, 4, 2008, 403-412. doi: 10.22099/ijsts.2008.2298
HARVARD
REZAEI, B., RAZAVI, A., SADEGHZADEH, N. (2008). 'ON EINSTEIN (α,β )-METRICS', Iranian Journal of Science, 32(4), pp. 403-412. doi: 10.22099/ijsts.2008.2298
CHICAGO
B. REZAEI , A. RAZAVI and N. SADEGHZADEH, "ON EINSTEIN (α,β )-METRICS," Iranian Journal of Science, 32 4 (2008): 403-412, doi: 10.22099/ijsts.2008.2298
VANCOUVER
REZAEI, B., RAZAVI, A., SADEGHZADEH, N. ON EINSTEIN (α,β )-METRICS. Iranian Journal of Science, 2008; 32(4): 403-412. doi: 10.22099/ijsts.2008.2298
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