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20082026
most citedSasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures

34 citations · 83 across the 9 of their papers we have counts for

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math.DG2011★ 4 cited

The curvature tensor of (\ka,μ,ν)-contact metric manifolds

Kadri Arslan, Alfonso Carriazo, Verónica Martín-Molina +1

We study the Riemann curvature tensor of (κ,μ,ν)-contact metric manifolds, which we prove to be completely determined in dimension 3, and we observe how it is affected by D_a-homot…

math.DG2011★ 34 cited

Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures

Beniamino Cappelletti Montano, Alfonso Carriazo, Verónica Martín-Molina

We prove that any non-Sasakian contact metric (κ,μ)-space admits a canonical η-Einstein Sasakian or η-Einstein paraSasakian metric. An explicit expression for the curvature tensor…