Quarter-pinched Einstein metrics interpolating between real and complex hyperbolic metrics
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Zeitschrift"
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
Construction of Acylindrical Hyperbolic 3-Manifolds with Quasifuchsian Boundary
Sign Up to like & getrecommendations! Published in 2020 at "Experimental Mathematics"
DOI: 10.1080/10586458.2020.1718566
Abstract: We construct a one (real) dimensional deformation of an acylindrical hyperbolic 3-manifold, compute some associated arithmetic invariants and exhibit the skinning map along the deformation locus. T... read more here.
Keywords: construction acylindrical; quasifuchsian boundary; hyperbolic; manifolds quasifuchsian ... See more keywords