Real Hypersurfaces in the Complex Hyperbolic Quadric with Parallel Ricci Tensor
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DOI: 10.1007/s00025-019-0961-7
Abstract: We introduce the notion of parallel Ricci tensor for real hypersurfaces in the complex hyperbolic quadric $${Q^m}^* = SO^{o}_{m,2}/SO_mSO_2$$Qm∗=SOm,2o/SOmSO2. According to the $$\mathfrak {A}$$A-principal or the $$\mathfrak {A}$$A-isotropic unit normal vector field N, we give… read more here.
Keywords: ricci; hypersurfaces complex; real hypersurfaces; complex hyperbolic ... See more keywords
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
Quasiconformal deformations of complex hyperbolic p-Schottky groups
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DOI: 10.1007/s10711-016-0204-y
Abstract: In this paper, we generalize a Schottky group construction to complex hyperbolic space. In particular, we construct a fundamental domain whose sides consist of disjoint non-asymptotic packs for the action of the Schottky group acting… read more here.
Keywords: schottky group; deformations complex; quasiconformal deformations; schottky ... See more keywords