Negative Ricci curvature on some non-solvable Lie groups
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DOI: 10.1007/s10711-016-0185-x
Abstract: We show that for any non-trivial representation $$(V, \pi )$$(V,π) of $$\mathfrak {u}(2)$$u(2) with the center acting as multiples of the identity, the semidirect product $$\mathfrak {u}(2) \ltimes _\pi V$$u(2)⋉πV admits a metric with negative… read more here.
Keywords: metric negative; negative ricci; solvable lie; ricci curvature ... See more keywords