Existence of twisted constant scalar curvature Kähler metrics with a large twist
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DOI: 10.1007/s00209-018-2133-y
Abstract: Suppose that there exist two Kähler metrics $$\omega $$ω and $$\alpha $$α such that the metric contraction of $$\alpha $$α with respect to $$\omega $$ω is constant, i.e. $$\varLambda _{\omega } \alpha = \text {const}$$Λωα=const. We… read more here.
Keywords: hler; constant scalar; hler metrics; twisted constant ... See more keywords
Closed Willmore minimal hypersurfaces with constant scalar curvature in S5(1) are isoparametric
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DOI: 10.1016/j.aim.2017.05.002
Abstract: Abstract In this paper, we will prove that any closed minimal Willmore hypersurface M 4 of S 5 with constant scalar curvature must be isoparametric. To be precise, M 4 is either an equatorial 4… read more here.
Keywords: minimal hypersurfaces; constant scalar; willmore minimal; scalar curvature ... See more keywords
Hypersurfaces with constant scalar curvature in space forms
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DOI: 10.1016/j.difgeo.2018.01.001
Abstract: Abstract In this paper we study the rigidity of complete hypersurfaces with constant scalar curvature in Riemannian space forms. Under an appropriate constraint on Φ, the traceless part of its second fundamental form, we prove… read more here.
Keywords: scalar curvature; hypersurfaces constant; constant scalar; space forms ... See more keywords
Conformally flat hypersurfaces with constant scalar curvature
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DOI: 10.1016/j.difgeo.2018.08.002
Abstract: Abstract We classify the conformally flat hypersurfaces f : M 3 → R 4 with three distinct principal curvatures and constant scalar curvature. read more here.
Keywords: constant scalar; hypersurfaces constant; conformally flat; scalar curvature ... See more keywords