A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
The study of conformal biharmonic maps and hypersurfaces in various spaces.
The article explores constructing biharmonic and conformal biharmonic maps to spheres.
This paper studies conformal biharmonic immersions. We first study the transformations of Jacobi operator and the bitension field under conformal change of metrics. We then obtain an invariant equation for a conformal biharmonic immersion of a surface into Euclidean 3-space. As applications, we construct a 2-parameter …
The study classifies conformal biharmonic and k-polyharmonic maps between space forms.
The identity map of certain Einstein manifolds is stable in both energy and bienergy.
The paper studies conformal-biharmonic hypersurfaces in spheres and product spaces.
In this note, we generalize biharmonic equation for rotationally symmetric maps ([4], [16], [10]) to equivariant maps between model spaces and use it to give a complete classification of rotationally symmetric conformal biharmonic maps from a -dimensional space form into a -dimensional model space. We also give a…
Harmonic morphisms are maps between Riemannian manifolds that pull back harmonic functions to harmonic functions. These maps are characterized as horizontally weakly conformal harmonic maps and they have many interesting links and applications to several areas in mathematics (see the book by Baird and Wood for details)…