From the 1 of 12 linked papers with an AI index.
12 papers
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
The paper develops a general method to generate families of harmonic maps from the unit ball to the Euclidean sphere, extending previous constructions and showing how these maps ca…
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…
Construction of harmonic maps between cohomogeneity one manifolds
Anna Siffert
We construct equivariant harmonic maps between cohomogeneity one manifolds.