Quarter-pinched Einstein metrics interpolating between real and complex hyperbolic metrics
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DOI: 10.1007/s00209-017-2013-x
Abstract: We show that the one-loop quantum deformation of the universal hypermultiplet provides a family of complete 1 / 4-pinched negatively curved quaternionic Kähler (i.e. half conformally flat Einstein) metrics $$g^c$$gc, $$c\ge 0$$c≥0, on $$\mathbb {R}^4$$R4. The metric… read more here.
Keywords: hyperbolic metrics; einstein metrics; hyperbolic; quarter pinched ... See more keywords