10 citations · 27 across the 26 of their papers we have counts for
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Detecting Einstein metrics on products of spheres
Anna Siffert
On \[ S^5\times S^2,\qquad S^5\times S^3,\qquad S^5\times S^4,\qquad S^7\times S^2, \] we construct infinitely many pairwise non-isometric real-analytic Einstein metrics. After dis…
New Homogeneous Einstein Metrics from Detection
Anna Siffert
We use a detection method for invariant Einstein equations to construct and distinguish asymmetric homogeneous Einstein metrics on several families of compact homogeneous spaces. T…
Quantized Einstein Metrics on with -Symmetry
Anna Siffert
We prove that the standard cohomogeneity-one action of \(SU(3)\) on \(S^7\), with principal orbit the Wallach flag manifold \(SU(3)/T^2\), admits infinitely many invariant Einstein…
Response Geometry for Einstein metrics
Anna Siffert
We develop a response geometry for smooth parameterized families of Einstein metrics equipped with canonical probe data. The differential of the probe observations defines a respon…
Einstein Metrics and Equivariant Harmonic Maps: The Einstein Detection Principle
Anna Siffert
We develop a new analytical framework for the local deformation theory of compact cohomogeneity-one Einstein metrics. The framework combines an intrinsic reformulation of the Einst…
The Nullity of a Family of Proper Biharmonic Maps via Elliptic Curves
Anna Siffert
We prove a conjecture of Montaldo, Oniciuc and Ratto concerning the nullity of a family of proper biharmonic maps from the flat two-torus to the round two-sphere. The proof reveals…
A framework for producing harmonic maps
Volker Branding, Anna Siffert
We present a general framework for producing families of harmonic maps from the unit ball into the Euclidean sphere starting from a fixed harmonic map. In particular, our analysis…
Construction of harmonic maps between cohomogeneity one manifolds
Anna Siffert
We construct equivariant harmonic maps between cohomogeneity one manifolds.
The Initial Value Problem for Harmonic maps of Cohomogeneity One manifolds
Anna Siffert
We set up and solve the initial value problem for equivariant harmonic maps of cohomogeneity one manifolds, i.e. we show the local existence of a harmonic map in the neighborhood o…